Question

Given that P = (5, 1) and Q = (13, 8), find the component form and magnitude of vector PQ

Answer 1

Example:
Given R(5,3), S(8,7),
vector RS
<8-5,7-3>=<3,4> ---- this is the component form
magnitude RS
=||RS|| = sqrt(3^2+4^2)=5
Direction of RS
=arctan(4,3) (but watch quadrant, most arctan function give solution in -pi/2 to pi/2 only)
= 53.13 deg. approx.