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Find the magnitude and direction of the vector \(p = (5i - 1...

Find the magnitude and direction of the vector p=(5i12j)

A.

(13, 113.38°)

B.

(13, 067.38°)

C.

(13, 025.38°)

D.

(13, 157.38°)

Correct answer is D

p=(5i12j);|p|=52+(12)2

= 169=13

\tan\theta = \frac{-12}{5} = -2.4 \implies \theta = -67.38°

Direction = 90° - (-67.38°) = 157.38°