A non-zero vector is multiplied by the scalar to give

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A non-zero vector A⃗\vec A is multiplied by the scalar 33 to give 3A⃗3\vec A. Which one of the following statements about the unit vector along 3A⃗3\vec A is correct? (a) Its magnitude becomes one-third of the original. (b) Its direction becomes opposite to that of A⃗\vec A. (c) It is the same as the unit vector along A⃗\vec A. (d) Its magnitude becomes three times larger than before.

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