Given that p = (8N,030º) and q = (9N, 150º), find, in component from, the unit vector along(p - q).

Given that p = (8N,030º) and q = (9N, 150º), find, in component from, the unit vector along(p - q).

Answer Details

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 = −14.7224i+0.5j14.7309 $\frac{<br>}{}$

-0.9994i + 0.0339j ≌ -i + 0.0339j