Given that p = (8N,030º) and q = (9N, 150º), find, in component from, the
FURTHER MATHEMATICS
WAEC 2022
Given that p = (8N,030º) and q = (9N, 150º), find, in component from, the unit vector along(p - q).
Explanation
p = 8cos30i + 8sin30j
q = 9cos150i + 9sin150j
p = 6.9282i + 4j
q = -7.7942i + 4.5j
pq = (-7.7942 - 6.9282)i + (4.5 - 4)j
pq = -14.7224i + 0.5j
|pq| = √((-14.7224)2 + (0.5)2)
|pq| = √(216.7491 + 0.25)
|pq| = √216.9991
|pq| = 14.7309
the unit vector in the direction of p - q = \(\frac{-14.7224i+0.5j}{14.7309}\)
-0.9994i + 0.0339j ? -i + 0.0339j
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