What is direction of vector \(\vec{a}\) if it is multiplied with -λ?

(a) Downwards

(b) Upwards

(c) Same

(d) Opposite

This question was addressed to me in semester exam.

The question is from Multiplication of a Vector by a Scalar in chapter Vector Algebra of Mathematics – Class 12

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Right choice is (d) Opposite

Explanation: If the vector is multiplied with –λ then its direction become opposite as the direction in which it was previous may be positive or negative. After it is multiplied with a negative value then its direction becomes exactly opposite to the previous direction.