Subspaces

## Collection Contents

### Linear Subspaces

by Sal Khan

This video introduces the notion of a linear subspace of a linear space.
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### Linear Algebra: Basis of a Subspace

by Sal Khan

This video introduces the notion of the basis or basis vectors of a linear subspace.
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### Vector Dot Product and Vector Length

by Sal Khan

This video introduces the concept of vector dot product and connects it with the length of a vector.
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### Proving Vector Dot Product Properties

by Sal Khan

This video proceeds to prove the various algebraic properties of the dot product operation.
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### Proof of the Cauchy-Schwarz Inequality

by Sal Khan

This video presents the Cauchy-Schwarz inequality and its uses.
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### Linear Algebra: Vector Triangle Inequality

by Sal Khan

This video introduces the vector triangle inequality and its uses.
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### Defining the angle between vectors

by Sal Khan

This video introduces the relationship between the angle between vectors and their dot product.
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### Defining a plane in R3 with a point and normal vector

by Sal Khan

This video shows how to determine a plavne in R3 from a point and a line normal to it.
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