Find the magnitude and direction of the vector p=(5i?12j)
FURTHER MATHEMATICS
WAEC 2017
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: D. (13, 157.38°)
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 = \(90° - (-67.38°) = 157.38°\)
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