Problem 3-9 - Vector sum - Part 6 (c)

Find the magnitude and direction of the sum of the vectors \(A + B + C\) using the component technique. Assume two significant digits.
\(A = 20\; km\) north, \(B = 30\; km\) east, \(C = 50\; km\; 55 ^\circ\) west of north.


Accumulated Solution

graph indicating magnitude of direction (b)

Variable \(x\) comp \(y\) comp
A \(0\) \(+20\)
B \(30\) \(0\)
C \(-50 \cos 35^\circ\)   
Sum    

Correct!

 
 
The \(y\) component of \(\text{C}\) (in \(km\)) is:

(A)   \(50 \cos 35^\circ\)

(B)   \(50 \sin 35^\circ\)

(C)   \(-50 \cos 35^\circ\)

(D)   \(-50 \sin 35^\circ\)