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In this video, we go through the base concepts of vectors. See the timestamps for a list of covered topics.
I didn’t explicitly prove that scaling a vector scales its magnitude, but it’s an easy proof to show that ||k*(a,b,c)|| = k*||(a,b,c)|| by factoring out a k^2 from the square root in the distance formula.
Intro: 0:00
Vectors Description/Representation: 0:40
Scalar-Vector Operations: 4:59
Vector-Vector Addition/Subtraction: 6:43
Vector Magnitude: 13:21
Dot Product: 20:15
Cross Product: 27:27
Applications: 38:16
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