Question

Find the magnitude and direction of vector RS if R is (-4, -2) and S is (3, 7).

Answer 1

how much do you know about vectors?

Answer 2

we can "move" the points so that we get a standard position vector that is equal to RS simply by moving R to the origin

R is (-4, -2) and S is (3, 7)
+4 +2 +4 +2
-----------------------
R' ( 0 , 0 ) S' (7,9)

as such, S' is equal to the the vector RS

Answer 3

direction is simply taking the inverse tangent of y/x; and the length is the square, add, sqrt of the x,y parts