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What is (AxB).(BxA); or A = A1i + A2j + A3k and B = B1i + B2j + B3k?

(a) 0

(b) A1B1A2B2i + A2B2A3B3j + A3B3A1B1k

(c) A1B1A1B2i + A2B2A3B2j + A3B3A1B3k

(d) A1B1A2B1i + A2B2A2B3j + A3B3A2B1k

This question was posed to me in an online quiz.

The question is from Dot Product and Cross Product topic in section Force Vectors of Engineering Mechanics

1 Answer

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Best answer
Right choice is (a) 0

Best explanation: Here we are trying to do the cross product of the two vectors in the same plane. Which will give us zero. While dot product of the same plane vector will give a scalar quantity, not zero.

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