The magnitude of vector A is 18 units at an angle of 90 degrees with the x-axis, and the magnitude of vector B is 12 units at an angle of 330 degrees with the x-axis. What vector C must be added to the vectors A and B so that the resultant of these three vectors points in the negative x direction and has a magnitude of 7.5 units? Express the vector C by giving its magnitude and direction.

1 answer

A = 18i.
B = 12[330o].

C + 18i + 12*Cos330+12*sin330 = -7.5.
C + 18i + 10.39 - 6i = -7.5,
C + 10.39 + 12i = -7.5,
C = -17.89 - 12i = -21.6[33.9o]S. of W. = -21.6[214o]CCW.