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 \(4.0\; km\; \text{W}\).

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

Correct!

 

Which row has the correct \(y\) components of the vectors?

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