Why does multiplication of vectors not have a corresponding division?
1 Answer
Feb 26, 2017
It can have...
Explanation:
The normal kinds of multiplication of vectors that you have probably encountered are dot product and cross product.
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Dot product does not support division since it makes two vectors into one scalar.
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Cross product does not support division, since the cross product of two non-zero vectors in the same direction is zero.
However, they can be combined into quaternion multiplication in four dimensional space, creating a form of multiplication that does support division by any non-zero element.
See https://socratic.org/s/aCwSAEhJ for some more details.