Question

The vector 2A has

A. twice the magnitude and opposite
direction as vector A.

B. same magnitude and twice the direction
of vector A.

C. twice the magnitude and twice the
direction of vector A.

D. twice the magnitude and the same
direction as vector A.

Answer 1

D

Step-by-step explanation:

Here the given vector to us is 2A . Here A is a vector and 2 is a Scalar number. say when you multiply a Scalar x by vector y the magnitude becomes x *y but the direction remains same . as scalar quantities have only magnitude but no direction. Here A is multiplied by 2 so the magnitude becomes 2 times but the direction remains same.

So from the given options option D , twice the magnitude and the same direction as vector A is the correct answer.

Answer 2

D. Twice the magnitude and the same direction as vector A.

Step-by-step explanation:

When multiplying a vector by a scalar (a number), the length changes but the direction stays the same.

Therefore, vector 2A is twice the magnitude of vector A, but in the same direction as vector A.