Find the magnitude and direction of the vector \(p = (5i – 12j)\)
- (13, 113.38°)
- (13, 067.38°)
- (13, 025.38°)
-
(13, 157.38°)
The correct answer is: D
Explanation
\(p = (5i - 12j); |p| = \sqrt{5^{2} + (-12)^{2}}\)
= \(\sqrt{169} = 13\)
\(\tan\theta = \frac{-12}{5} = -2.4 \implies \theta = -67.38°\)
Direction = \(90° - (-67.38°) = 157.38°\)