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Commutative Law of Binary Operation

in cross prod...

Question

in cross product the vector product is distributive that is : vector A cross (vector B + vector C) = vector A cross Vector B + vector B cross vector A. But we know that cross product is not commutative or anticommutative that is: AxB = -BxA Then how the vector product is distributive it should be zero?

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Assertion : If dot product and cross product of vector A and vector B are zero, it implies that one of the vector A and B must be a null vector.

Reason : Null vector is a vector with zero magnitude.

I don't know that how to know whether the question belongs to vector dot product or vector cross product...

\to A

\to B

\to A

\to B

\to A

\to B

\to A

\to B

C

A

B

D

A

B

C

D

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