math187_vectors
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# math187_vectors

Vector geometry, projections, dot and cross products, lines, planes
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## Parallel Lines Song: Sweet Child O (Parallel) Lines

Learn about Parallel Lines. Learn about angles formed when Parallel Lines are intersected by a transversal. Learn about the Slope of Parallel Lines. This sil...
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Carson's choice: Song on parallel lines to the tune of sweet child of mine

Keith Robert H's curator insight,

parallel lines are "always the same distance apart"

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## Intersection of a Line and a Plane

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Video: Line and a plane intersection.

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## Determining the Distance Between a Plane and a Point

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Video: Distance from point to plane (note that the notation is slightly different to MATH187)

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## Shortest distance between two skew lines in 3D space.

An example of finding the shortest distance between two lines in 3D space which do not intersect. The lines are specified only by a point on them and their d...
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Video: Line to line by first principles, with a smooth Scottish accent.

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## Vector and parametric equations of a line

Deriving the vector and parametric equations of a line
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Video: Vector parametric form of the line explained succinctly and graphically.

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## The Cross Product

In this video, I give the formula for the cross product of two vectors, discuss geometrically what the cross product is, and do an example of finding the cro...
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Video: Cross products well explained.

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## Vector Projection

This video explains how to determine the projection of one vector onto another vector. http://mathispower4u.yolasite.com/
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Video: Simple explanation of projections.

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## Precalculus - Vector Arithmetic

Math Help at Brightstorm! http://www.brightstorm.com/math How to compute the sum of two vectors or the product of a scalar and a vector.
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Video: Short video of vector addition, scalar multiplication, etc.

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## An Introduction to Vectors, Part 1

An introduction to vectors: magnitude, direction, length, component form are all discussed.
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Video: Simple intro to vectors and magnitude.

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## intersection line of two planes

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Video: Intersection of two planes.

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## finding the angle between two planes

Normal vectors
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Video: Angle between two planes.

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## Example:Finding Shortest distance

In this example, we show you how to find the shortest distance between two lines whose vector equations are given in 3-D plane using formula. Crack a fun Mat...
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Video: Distance from line to line using the formula.

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## How to find the shortest distance from a point to a line - Vectors in 3D

A tutorial on how to find the shortest distance from one point to a line. This tutorial covers using the coordinates of an unknown point on a line from the v...
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Video: Distance from a point to a line.

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## The Triple Scalar Product

This video explains how to determine the volume of a parallelepiped using the triple scalar product. http://mathispower4u.yolasite.com/
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Video: Description of the scalar triple product and the volume of a parallelepiped.

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## Vectors - The Dot Product

For more FREE math videos, visit http://PatrickJMT.com !! Vectors - The Dot Product. I show how to compute the dot product of two vectors, along with some us...
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Video: Dot products and angles between vectors.

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## Precalculus - Unit Vectors

Math Help at Brightstorm! http://www.brightstorm.com/math How to express a vector algebraically in terms of the unit vectors i and j.
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Video: Changing vectors from component form to linear combination of unit vectors.
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## Part I: Vector Arithmetic, Lec 3 | MIT Calculus Revisited: Multivariable Calculus

Part I: Vector Arithmetic, Lecture 3: Three-Dimensional Vectors Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-007F11 License: ...
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Video: An MIT video made in the 60's, detailed intro to vector arithmetic

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