Question

Consider a unit vector in the direction of ~PQ for P(0,4) and Q(4,-9). Find :
a) the x-component of the unit vector.
b) the y-component of the unit vector

Answer 1

\[ \hat {\textbf {PQ}} = \frac{4}{|\textbf {PQ}|} \hat{ \textbf x}-\frac{13}{|\textbf {PQ}|} \hat{ \textbf y} \]

Sorry about all the angle scribbles. Don't need those. You normalize your vector PQ to get a unit vector )divide the vector by its magnitude) and the x and y comps fall out of it :)