Three vectors, expressed in Cartesian coordinates. What is the angle of the resultant vector S, T, U measured from the positive x axis?

x-comp y-comp
S -3.5 +4.5
T 0 -6.5
U +5.5 -2.5

To find the resultant, i'm assuming I have to add the columns up. If that's the case I got x-comp: 2 and y-comp: -2.25.
From there I figured I'd have to do
sqrt of (2^2 + -2.25^2)
which equals to 3.004.
I'm not sure how to get the angle though.

1 answer

X = -3.5 + 0 + 5.5 = 2.0
Y = 4.5 -6.5 -2.5 = -4.5

Tan A = Y/X = -4.5/2 = -2.250
A = -66.0 CW = 294o CCW.