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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)

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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)

(a) True

(b) False

I got this question in an interview for internship.

I'm obligated to ask this question of Dot Product and Cross Product topic in portion Force Vectors of Engineering Mechanics

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Right choice is (b) False

Explanation: 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.

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