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

45 degrees or pi/4 radians

angle between the resultant vector and x axis = tan^-1((-5+10)/(6-1)) = tan^-1(5/5) = tan^-1(1) = 45 degrees or pi/4

resultant vector is c (5,5)

it helps to plot, graph

a, b and c

construct a parallelogram with a and b as two sides