Search results “Dot product in vectors”

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Vectors - The Dot Product. I show how to compute the dot product of two vectors, along with some useful theorems and results involving dot products. 3 complete examples are shown.

Views: 834694
patrickJMT

Introduction to the vector dot product. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/dot-vs-cross-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/magnetism-11-electric-motors?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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Views: 427452
Khan Academy

This physics & precalculus video tutorial explains how to find dot product of two vectors and how to find the angle between vectors. In addition, it explains how to determine if two vectors are orthogonal / perpendicular, parallel, or neither using the dot product formula and by analyzing the slope. This video contains plenty of examples and practice problems.
Here is a list of topics:
1. Dot Product of Two Vectors
2. How to Find the Angle Between Two Vectors Using Cosine & Tangent
3. How to find the magnitude of a vector
4. Geometric Interpretation of Vectors
5. Parallel and Perpendicular Vectors
6. How to determine if two vectors are orthogonal using the dot product formula and by finding the slope
7. How to express a vector in component form given magnitude and angle
8. Dot product of Two Vectors Using Three Components in i j k
9. Graphical Representation of Vectors

Views: 26889
The Organic Chemistry Tutor

Definitions of the vector dot product and vector length
Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proving-vector-dot-product-properties?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/subspace_basis/v/linear-algebra-basis-of-a-subspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
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Views: 642746
Khan Academy

Visit http://ilectureonline.com for more math and science lectures!
In this video I will explain the products of vectors, or dot product, or scalar product.
Next video in this series can be seen at:
https://youtu.be/ffAzfVYgDII

Views: 63836
Michel van Biezen

Class 11 Chapter 4 : Vector 01 : Scalar and Vector || Types of Vector || Angle between Two Vectors
https://youtu.be/253EkOqCrmM
CLass 11 : Chapter 4 VECTOR 02 || VECTOR ADDITION || PARALLELOGRAM LAW OF VECTOR AADDITION ||
https://youtu.be/zHhIlBOiLV0
CLass 11 Chapter 4 : VECTOR 03 : ADDITION and SUBTRACTION OF VECTORS || IIT JEE / NEET ||
https://youtu.be/5jTL9iguDEQ
Class 11 Physics Chapter 4 : VECTOR 04 RESOLUTION OF VECTOIR AND ADDITION OF THREE VECTORS
https://youtu.be/3BE_A2v9SmI
Class 11 Chapter 4 : VECTOR 05 :SCALAR PRODUCT OF VECTORS|| DOT PRODUCT OF VECTORS ||
https://youtu.be/Arxus4I23hM
Class 11 Chapter 4 : VECTOR 06 VECTOR PRODUCT || CROSS PRODUCT OF VECTORS || IIT JEE / NEET VECTORS
https://youtu.be/QPLEx-eh3FA
Class 11 chap 04 || Vector 07 || Triangle Law Of Vector Addition || Triangle Law Vectors
https://youtu.be/YOs0Y4TtK-U
Class 11 chapter 04 || Vector 08 || Cosine Law || Proof Of Cosine Law by Vectors|| Triangle Law
https://youtu.be/qk3NIyaw8Nc

Views: 171978
Physics Wallah - Alakh Pandey

Go to http://www.examsolutions.net/maths-revision/index.php to see the main index of maths video tutorials

Views: 148714
ExamSolutions

We learned how to add and subtract vectors, and we learned how to multiply vectors by scalars, but how can we multiply two vectors together? There are two ways to do this, and one of them is called the dot product. Let's learn how to find the dot product of two vectors now!
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Professor Dave Explains

Visual interpretation of the cross product and the dot product of two vectors.
My Patreon page: https://www.patreon.com/EugeneK

Views: 363764
Physics Videos by Eugene Khutoryansky

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Dot Product : Find Angle Between Two Vectors.
Here I do another quick example of using the dot product to find the angle between two vectors.

Views: 312481
patrickJMT

This is part of the Introduction to Electrodynamics series. Here, I compare the dot and cross products of two vectors from a geometric perspective.

Views: 179548
Real Physics

Calculating the dot and cross products when vectors are presented in their x, y, and z (or i,j, and k) components. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/flux-and-magnetic-flux?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/dot-vs-cross-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 309961
Khan Academy

Learn via an example what is the dot product of two vectors. For more videos and resources on this topic, please visit http://ma.mathforcollege.com/mainindex/02vectors/

Views: 8263
numericalmethodsguy

The angle between two vectors can be found by using the cosine rule in a clever way.
Learn by viewing, master by doing
www.virtuallypassed.com

Views: 6229
Matthew James

I created this video with the YouTube Video Editor (http://www.youtube.com/editor)

Views: 127513
cbseclass videos

Donate here: http://www.aklectures.com/donate.php
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Views: 60021
AK LECTURES

Using Dot Product to Find the Angle Between Two Vectors. You can use one of the dot product formulas to actually compute the angle between two vectors. Here we show how to use this formula to find an angle theta between two vectors Subscribe on YouTube: http://bit.ly/1bB9ILD
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Views: 36633
Firefly Lectures

The super easy and quick concept of Dot product of vectors or dot multiplication of vectors or scalar multiplication of vectors is explained in this video.
The video covers all about the dot product and scalar produc of vectors. I will also tell you about:
1) Dot Product and Scalar Product of Vectors, Physics.
2) Physics - Mechanics: Vectors (12 of 21) Product Of Vectors: Dot Product
3) The Dot Product.
4) Class 12 Maths : Vectors - Dot product ( Scalar product ) Part 1.
5) Scalar Product or Dot Product (Hindi).
6) Cross Product and Dot Product: Visual explanation.
7) Dot vs. cross product | Physics | Khan Academy
Dot product of vectors or scalar product of vectors is the multiplication of two or more vectors. Dot product or scalar product of two vectors always give us a number.
a scalar function of two vectors, equal to the product of their magnitudes and the cosine of the angle between them.
The Dot Product gives a number as an answer (a "scalar", not a vector).
The Dot Product is written using a central dot:
a · b
This means the Dot Product of a and b
We can calculate the Dot Product of two vectors this way:
dot product magnitudes and angle
a · b = |a| × |b| × cos(θ)
Where:
|a| is the magnitude (length) of vector a
|b| is the magnitude (length) of vector b
θ is the angle between a and b
he dot product between two vectors is based on the projection of one vector onto another. Let's imagine we have two vectors aa and bb, and we want to calculate how much of aa is pointing in the same direction as the vector bb. We want a quantity that would be positive if the two vectors are pointing in similar directions, zero if they are perpendicular, and negative if the two vectors are pointing in nearly opposite directions. We will define the dot product between the vectors to capture these quantities.
But first, notice that the question “how much of aa is pointing in the same direction as the vector bb” does not have anything to do with the magnitude (or length) of bb; it is based only on its direction. (Recall that a vector has a magnitude and a direction.) The answer to this question should not depend on the magnitude of bb, only its direction. To sidestep any confusion caused by the magnitude of bb, let's scale the vector so that it has length one. In other words, let's replace bb with the unit vector that points in the same direction as bb. We'll call this vector uu, which is defined by
u=b∥b∥.
u=b∥b∥.
The dot product of aa with unit vector uu, denoted a⋅ua⋅u, is defined to be the projection of aa in the direction of uu, or the amount that aa is pointing in the same direction as unit vector uu. Let's assume for a moment that aa and uu are pointing in similar directions. Then, you can imagine a⋅ua⋅u as the length of the shadow of aa onto uu if their tails were together and the sun was shining from a direction perpendicular to uu. By forming a right triangle with aa and this shadow, you can use geometry to calculate that
a⋅u=∥a∥cosθ,(1)
(1)a⋅u=∥a∥cosθ,
where θθ is the angle between aa and uu.
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NAJAM ACADEMY

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Anil Kumar

I explain how to find the Dot Product and the properties of the dot product. I continue by explaining how to calculate the angle between to vectors, including the special cases of Parallel Vectors and Orthogonal Vectors.
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

Views: 60512
ProfRobBob

Calculus 3 Lecture 11.3: Using the Dot Product: Explanation of the Dot Product, Finding the angle between two vectors including how the Dot Production show orthogonal vectors, Vector Projection, Work, and Direction angles.

Views: 105975
Professor Leonard

Dot products are a nice geometric tool for understanding projection. But now that we know about linear transformations, we can get a deeper feel for what's going on with the dot product, and the connection between its numerical computation and its geometric interpretation.
Full series: http://3b1b.co/eola
Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced.
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Views: 442570
3Blue1Brown

This physics video tutorial shows you how to find the dot product of two vectors represented in component form. It provides the formulas and equations needed for the calculation as well providing plenty of examples and practice problems. This video also shows you how to find the angle between two vectors.

Views: 11286
The Organic Chemistry Tutor

Dot and Cross Product Comparison/Intuition
Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-triple-product-expansion-very-optional?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proof-relationship-between-cross-product-and-sin-of-angle?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy

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Khan Academy

For COMPLETE Vector Algebra please check this playlist -
https://www.youtube.com/watch?v=eUxRIHahFs0&list=PLuxAKwDAh21CLvNbdCsYZH5FzaoqbMQRn
OTHER TOPICS -
3D Geometry Straight Lines
https://www.youtube.com/watch?v=Rf9S858z41g&list=PLuxAKwDAh21BS3dPDHTtsm7A_bpttsAc8
3D Geometry Planes
https://www.youtube.com/watch?v=wu70imcFElM&list=PLuxAKwDAh21DC9FB-VPSpT2GMSLMhVx-c
Differential Equations
https://www.youtube.com/watch?v=rG6PD5TJUKE&list=PLuxAKwDAh21DSO4rHYi7JNkpmZoyw-BX4
Probability
https://www.youtube.com/watch?v=toSW6WF_iaU&list=PLuxAKwDAh21CesK5RhiGdvZICRvAS7lml
Differentiation
https://www.youtube.com/watch?v=e9VGKUC5N88&list=PLuxAKwDAh21Dt4iFpTiVh5oZ7mC3ZUoDZ
Integration
https://www.youtube.com/watch?v=Znb5v2VfCxU&list=PLuxAKwDAh21At3EVYD_BAo_72ZcjpyRRg

Views: 113306
studyezee

Understanding the differences between the dot and cross products. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/calculating-dot-and-cross-products-with-unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/the-dot-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 409105
Khan Academy

In this video in Hindi we discussed what is dot product and how to find the dot product of two vectors in physics. the dot product is also called the inner product or the scalar product This video is helpful for class 11 students and IIT JEE aspirants. The dot product of two vectors is the product of the magnitudes of the vectors and the cosine of the angle between them. The dot product of two vectors is the product of the magnitude of one vector and the projection of another vector along the first vector. The dot product or the inner product of two collinear vectors is the extremum. For the parallel vectors it is the maximum and for the anti parallel vectors it is minimum ( negative in nature ). If the dot product of two vectors is maximum the magnitude of the cross product is zero and when the magnitude of the cross product of two vectors is maximum the dot product is zero. Few examples of dot product are - work done - the dot product of force and displacement, electric flux - the dot product of electric field and the surface vector.
We will be discussing about cross product of two vectors in upcoming videos.
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EduPoint

What is Scalar Product & why it is defined the way it is defined

Views: 82840
The Lighthouse

Mathematics, Class XII Chapter: products of vectors Topic: Scalar products Classroom lecture by Swati Mishra. Language : English mixed with Hindi.

Views: 20342
Pradeep Kshetrapal

This video provides an overview of the formula for and applications of the vector dot product. It serves as the basis for the next video about Path Following.
Read along: http://natureofcode.com/book/chapter-6-autonomous-agents/#chapter06_section7
More info: http://en.wikipedia.org/wiki/Dot_product
Code from video:
https://github.com/shiffman/The-Nature-of-Code-Examples/tree/master/chp06_agents/Exercise_6_09_AngleBetween
https://github.com/shiffman/The-Nature-of-Code-Examples/tree/master/chp06_agents/SimpleScalarProjection
Help us caption & translate this video!
http://amara.org/v/Qbvg/

Views: 11062
The Coding Train

Dot Product Of Two Vector Quantities
https://www.tutorialspoint.com/videotutorials/index.htm
Lecture By: Mr. Pradeep Kshetrapal, Tutorials Point India Private Limited

Views: 2631
Tutorials Point (India) Pvt. Ltd.

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! An Introduction to the Dot Product. In this video, I give the formula for the dot product of two vectors, discuss the geometric meaning of the dot product, and find the dot product between some vectors.

Views: 87656
patrickJMT

This concept is explained concisely by IITian Faculty.
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Any Time Padhai Academy

Visit http://ilectureonline.com for more math and science lectures!
In this video I will show you how to calculate the dot product of 2 vectors, example 1.
Next video in this series can be seen at:
https://youtu.be/N3Yy5EvLRbc

Views: 39485
Michel van Biezen

► My Vectors course: https://www.kristakingmath.com/vectors-course
Learn how to find the dot product of two vectors. The dot product is also called the scalar product or inner product.
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Krista King

This physics video tutorial explains how to find the cross product of two vectors using matrices and determinants and how to confirm your answer using the dot product formula. This video contains plenty of examples and practice problems using the components i j k.

Views: 30264
The Organic Chemistry Tutor

This lesson discusses the notations involved with the dot product, and the notation that is involved with the inner product. We will go more in depth in the actual book.

Views: 4946
JJtheTutor

Views: 14776
Uniclass Content

https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon!
https://lem.ma/LA - Linear Algebra on Lemma
https://lem.ma/prep - Complete SAT Math Prep
http://bit.ly/ITCYTNew - My Tensor Calculus Textbook

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MathTheBeautiful

This video provides several examples of how to determine the dot product of vectors in three dimensions and discusses the meaning of the dot product.
Site: http://mathispower4u.com

Views: 7177
Mathispower4u

Thanks for appreciation
You can also find the perpendicular vectors by Cross Product.
Also watch that Playlist Vectors: Cross Product

Views: 7566
Anil Kumar

Proving the "associative", "distributive" and "commutative" properties for vector dot products.
Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proof-of-the-cauchy-schwarz-inequality?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-dot-product-and-vector-length?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.
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Article: https://betterexplained.com/articles/vector-calculus-understanding-the-dot-product/

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Scalar Product
The scalar product and the vector product are the two ways of multiplying vectors which see the most application in physics and astronomy. The scalar product of two vectors can be constructed by taking the component of one vector in the direction of the other and multiplying it times the magnitude of the other vector.
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In this video I have explained how to find scalar and vector product of two vectors , how to find scalar and vector product of two vectors when both the vectors are given in component forms .
The dot (scalar) product is the trigonometric cosine rule applied to vectors. The result of a dot product is the cosine of the angle between the two vectors multiplied by the magnitudes of the vectors.
The cross product is a vector at right angles to both of the given vectors and whose length is equal to the sine of the angle between the vectors multiplied by the magnitudes of the vectors. The length of the cross-product vector is also equal to the area of the parallelogram formed by these vectors.
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NCERT-XII-Maths-Chap-10.3- Scalar dot Product of Vectors- vector Algebra, Projection of Vectors, CBSE NCERT XII Maths

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More on Ansis 14-year-old daughter Fatma, married to 21-year-old Zaid: Fatma spent her day cooking and washing clothes for her in-laws. When asked the name of her husbands family, Fatma didnt know it. She remembers her father telling her and her sister, Amal, that the family needed money. She remembers that Amal was in tears because her new husband was taking her to another region. The two sisters have not seen each other since their weddings. "I am too young to be married," Fatma said. "I want to study. I want to learn how to write. I have sacrificed for my family," she continued, her voice dropping to a whisper. Minutes later, her husband arrived at the tent, and Fatma went silent. He said Fatma was "at a good age to marry." When asked if she could attend school, he shook his head no. "Shes a little too old for school," he said. Female sexual freedom among the Tuareg : Flora Drury has written up the sex habits of the Saharas Muslim Tuareg people based on the work by Henrietta Butler. Some excerpts: Their men became known as the blue men of the Sahara because the dye from their distinctive indigo scarves rub off onto their faces giving them a mysterious air. The Tuareg evoke images of a long forgotten and romantic age.