Geometry Vector Problem

Question

Find the angle the resultant vector makes with the horizontal is vector a=(-5,6) and vector b = (10,-1). Round your answer to the nearest degree. Show all your work.

Answer 1

a = (-5,6), b = (10, -1)

it might help to plot the vectors

the resultant vector is c ( -5+10, 6-1) = (5, 5)

it makes an angle with the x axis

= tan^-1(5/5) = tan^-1(1) = 45 degrees