MHT CET202615 April 2026Evening ShiftPhysicsMathematics in PhysicsActual

Let A and B are two non-zero vectors of different magnitude. Which one of the following is the correct equation ?

Options

AA B = - B A
BA B = B A
CA + B = B + A
DA - B = B - A

Correct answer

C. A + B = B + A

Step-by-step solution

Vector addition follows the commutative law, which means the order of addition does not change the result. A + B = B + A The dot product is commutative, so A B = B A . The cross product is anti-commutative, so A B = - B A . Vector subtraction is not commutative, so A - B = -( B - A ) . Answer: A + B = B + A

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