Practice question · Multiple choice
The dot product returns a single number rather than a vector of products. Why is that the useful output?
Hints
- Ask what question "how aligned are these two?" has as its answer.
- The componentwise product exists, it is just a different operation.
Show the answer
D. Because it measures how much two vectors share a direction
Why
Alignment is one number, so the operation that measures it returns one. The componentwise product is a legitimate operation; it simply answers a different question.
Practise Dot Product and Orthogonality
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