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Commutative law is valid for the cross product of two vectors. (Commutative law: PxQ = QxP; for two vectors P and Q)

Commutative law is valid for the cross product of two vectors. (Commutative law: PxQ = QxP; for two vectors P and Q) Correct Answer False

This statement is wrong. It is not possible unless we apply a negative sign to the RHS of the equation. That is PxQ = -(QxP). It is because, if you curl your wrist from one vector towards another vector, the thumb projected will give the direction of the cross product. Thus if you reverse the direction, a negative sign is necessary.

Related Questions

As in the determination of the various unknown forces in the free body diagram involves the use of vectors. So one of the vector law is commutative law and it is valid for the cross product of two vectors. (Commutative law: PxQ = QxP; for two vectors P and Q)
pxq-qxp = p2 - q2  সমীকরণটির সমাধান কোনটি?
Consider the following statements   1. The Cross product of two vectors is known as the vector product. 2. The Cross product of two vectors is known as the scalar product. Which of the following statements is correct?
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In the calculations involving the collar bearings and the pivot bearings, we use cross product. In that mathematically, for two vectors A and B of any magnitude, the cross product of both, i.e. AxB = given by: