Inner product, length, and orthogonality - Orthogonality and Least Squares
Inner product, length, and orthogonality
Lessons
Notes:
Let vectors and be:
Then the inner product of the two vectors will be:
Let and be vectors in , and let be a scalar. Then,
1)
2)
3)
4) , and only if
Suppose
. Then the length (or norm) of a vector is
Suppose dist is the distance between the vectors and . To find the distance between the two vectors, we calculate
dist
If two vectors and are orthogonal to each other, then it must be true that


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Intro Lesson
Inner Product, Length, and Orthogonality Overview:
