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## Homework Statement

We say that the displacement of a particle is a vector quantity. Our best justification for this assertion is:

A. displacement can be specified by a magnitude and a direction

B. operating with displacements according to the rules for manipulating vectors leads to results

in agreement with experiments

C. a displacement is obviously not a scalar

D. displacement can be specified by three numbers

E. displacement is associated with motion

If the x component of a vector A, in the xy plane, is half as large as the magnitude of the

vector, the tangent of the angle between the vector and the x axis is:

A. √3

B. 1/2

C. √3/2

D. 3/2

E. 3

## The Attempt at a Solution

I'm pretty sure the answers are supposed to be A and A.

However the answer key states that it's B and D.

Is it wrong?