Question

A vector cannot be divided by a vector. Why? ​

Answer 1

Explanation:

In general, a vector space only supports addition and scalar multiplication, so the answer would be no. That being said, their other algebraic structures in which division makes sense. To divide, you first need to be able to multiply, so your vector space would also have to be an algebra.

Answer 2

Answer:

Since cross product of vectors does not apply the commutative law,so we can't say whether the division is left multiplication of inverse or right multiplication of inverse. Division of vectors does not yield a definite answer. This is due to the fact that there are two kinds of multiplication that can produce a vector.

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