Question

show that cross product of two vectors does not obey commutative law.
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Answer 1

Answer:

The cross product of two vectors does not obey commutative law.

Explanation:

The cross product of two vectors does not obey commutative law. The cross product of two vectors are additive inverse of each other.

The cross product can be given by the formula a×b sinθn

Here, the direction of cross product is given by the right hand rule.

The rule states that of we stretch our forefinger of our right hand. This finger will be in the direction of the vector a. The middle finger will be in direction of vector b. The vector n will be shown by the thumb. The thumb will show the direction of the vector.

The direction of a×b is will not be same to b×a.

Thus, the cross product of two vectors does not obey commutative law.

Hence, proved.

Answer 2

Explanation:

show how the vector product of two vectors can be expressed by terms of their rectangular component as determined .