# Problem 3-25b - Vector difference - (B)

Determine the vector that must be added to the sum of $A$ and $B$ in the figure to give a net displacement of $4.0\; km\; \text{W}$.

Correct!

That sum looks like this which could end up at the desired $4\; km$ west.

Which row has the correct value of the $x$ component of the vectors?

Solution $A_x$ $B_x$ $C_x$ $R_x$
(A) $5.1 \sin 71$ $6.8 \cos 52$ $C_x$ $4$
(B) $5.1 \cos 71$ $6.8 \sin 52$ $C_x$ $4$
(C) $5.1 \cos 71$ $6.8 \sin 52$ $C_x$ $-4$
(D) $5.1 \sin 71$ $6.8 \cos 52$ $C_x$ $-4$