Find the magnitude and direction of the vector (p = (5i – 12j))
-
A.
(13, 113.38°) -
B.
(13, 067.38°) -
C.
(13, 025.38°) -
D.
(13, 157.38°)
Correct Answer: Option D
Explanation
(p = (5i – 12j); |p| = sqrt{5^{2} + (-12)^{2}})
= (sqrt{169} = 13)
(tantheta = frac{-12}{5} = -2.4 implies theta = -67.38°)
Direction = (90° – (-67.38°) = 157.38°)