Question

Two vectors are illustrated in the coordinate plane.

What are the components of the vector in quadrant II?

(4.3, 2.5)

(2.5, 4.3)

(-4.3, 2.5)

(2.5, -4.3)

Answer 1

Answer: (-4.3, 2.5)

Explanation:

In the second quadrant, magnitude of the vector is 5 and angle is 30° from the negative x-axis.

We can write this in terms of its components:

$-5 cos 30^o \hat i + 5 sin 30^o\hat j$

$-4.3\hat i+2.5 \hat j$

Thus, the components of vector in the second quadrant are (-4.3, 2.5)