Vector B is 3.46 units long toward the east. Vector A is 4.00 units long 30 degrees N of E. How long and in what direction is C = A - B?

2 answers

C=A-B=A+(-B)
Resolve A and -B into the x (due east) and y (due north) components and add to get the resultant C.
C = A - B ,
C = 4 @ 30 Deg - 3.46 @ 0 deg,

X = Hor = 4*cos30 - 3.46 = 3.46 - 3.46 = 0,
Y = Ver = 4*sin30 - 0 = 2,
C = 0 + i2 = 2 @ 90 deg N of E.