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 $4.0\; km\; \text{W}$ .

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

Correct!

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

diagram indicating C 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)	$5.1 \sin 71$	$6.8 \cos 52$	$C_x$	$-4$

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