Problem 3-25b - Vector difference -Part 2 - (C)

Determine the vector that must be added to the sum of A and B in the figure to give a net displacement of 4.0 km W.

diagram indicating directions north and east as well as vectors A and B


Accumulated Solution

diagram indicating C at the desired 4 km West

Solution \(\mathrm{A_x}\) \(\mathrm{B_x}\) \(\mathrm{C_x}\) \(\mathrm {R_x}\)
(A) 5.1 cos 71 6.8 sin 52 \(\mathrm{C_x}\) -4

Correct!

 

Which row has the correct y components of the vectors?

Solution \(\mathrm{A_y}\) \(\mathrm{B_y}\) \(\mathrm{C_y}\) Ry
(A) -5.1 cos 71 6.8 sin 52 \(\mathrm{C_y}\) 0
(B) -5.1 sin 71 6.8 cos 52 \(\mathrm{C_y}\) 0
(C) 5.1 cos 71 6.8 sin 52 \(\mathrm{C_y}\) -4
(D) 5.1 sin 71 6.8 cos 52 \(\mathrm{C_y}\) 4