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Inner product, length, and orthogonality

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Vector length, norm, and converting to unit vectors

Vector length, norm, and converting to unit vectors

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Vector length, norm, and converting to unit vectors

9:33

About this lesson

Inner Product, Length, and Orthogonality Overview:
The Length of a Vector
• Also known as norm
• Some properties with a length of a vector
• Unit vectors

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Video 1 of 9

Vector length, norm, and converting to unit vectors

10 min

Selected

Distance between vectors and orthogonality via inner product

16 min

Computing (u·u)/(v·v) times v for given vectors

4 min

Computing the length of a scalar-vector product using the inner product

5 min

Finding the unit vector in the direction of a given vector

3 min

Finding the distance between two vectors in R3

2 min

Finding the value of b that makes two vectors orthogonal

4 min

Proving the parallelogram law for vectors in Rn

7 min

Proving u is orthogonal to x+y using inner product properties

4 min