vector A has a magnitude of 57 m and points in a direction 20 degrees below the positive x axis. vector B has magnitude of 70 m and points in a direction 57 degrees above the positive x axis. Find the magnitude of the vector D = A-B.

Answer 1

A = 57m @ -20 deg. B = 70m @ 57 deg.

-20 = 340 deg.(ccw from 0 deg.),
x =hor= 57*Cos(340) + 70*Cos(57)=91.7m

y =ver= 57*Sin(340) + 70*Sin(57)=39.2m

D^2 = X^2 + Y^2 =(91.7)^2+(39.2)^2=
D^2 = 8408.89 + 1536.64 = 9945.53,
D = sqrt(9945.53) = 99.7 Meters.