Problem 3-9 - Vector sum - Part 5 (a)

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    
Sum    

Correct!

 

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

(A)   \(50\)

(B)   \(50 \cos 35^\circ\)

(C)   \(-50 \cos 35^\circ\)

(D)   \(-50 \cos 55^\circ\)