Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w? |w| = 9.4; θ = 72.9°
|w| = 9.4; θ = 107.1°
|w| = 14.2; θ = 72.9°
|w| = 14.2; θ = 107.1°

Given:

at an angle of 45°.

at an angle of 150°.

To find:

Magnitude and direction angle of w.

Solution:

We have,

Now,

Using these information, we get

Now,

Therefore, the correct option is D.

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