Given that \(p = 4i + 3j\), find the unit vector in the direction of
FURTHER MATHEMATICS
WAEC 2007
Given that \(p = 4i + 3j\), find the unit vector in the direction of p.
- A. \(\frac{1}{3}(4i + 3j)\)
- B. \(\frac{1}{3}(3i + 4j)\)
- C. \(\frac{1}{5}(3i + 4j)\)
- D. \(\frac{1}{5}(4i + 3j)\)
Correct Answer: D. \(\frac{1}{5}(4i + 3j)\)
Explanation
\(\hat {n} = \frac{\overrightarrow{p}}{|p|}\)
where \(\hat {n}\) is the unit vector in the direction of p.
\(|p| = \sqrt{4^{2} + 3^{2}} = \sqrt{25} = 5\)
\(\hat {n} = \frac{1}{5} (4i + 3j)\)
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