Question

Two vectors are shown. Which statement best compares the vectors?

A. Vector X has greater magnitude than vector Y

B. Vectors Y has greater magnitude than vector X

C. The vectors have the sane displacement.

D. The vectors have the same direction

Answer 1

Answer:

B

Explanation:

Because vector Y is longer than vector X

so when you take a magnitude( without minus ) each other

you see that Y>X

Answer 2

Answer:

Vectors Y has greater magnitude than vector X

Explanation:

The attached figure shows two vectors. A vector have both magnitude and direction.

The length of vector X is less than vector Y. They both are pointing in opposite directions.

The magnitude of a vector is given by :

a = xi +yj

$|a|=\sqrt{x^2+y^2}$

From the figure, it is clear that the vector Y has greater magnitude than vector X. Hence, the correct option is (B).