Solve Applied Problems Involving Vectors
-Two Forces $\mathbf { F } _ { \mathbf { 1 } }$

Multiple Choice

Solve Applied Problems Involving Vectors
-Two forces, $\mathbf { F } _ { \mathbf { 1 } }$ and $\mathbf { F } _ { \mathbf { 2 } }$ , of magnitude 60 and 70 pounds, respectively, act on an object. The direction of $\mathbf { F } _ { \mathbf { 1 } }$ is $\mathrm { N } 40 ^ { \circ } \mathrm { E }$ and the direction of $\mathrm { F } _ { 2 }$ is $\mathrm { N } 40 ^ { \circ } \mathrm { W }$ . Find the magnitude and the direction angle of the resultant force. Express the direction angle to the nearest tenth of a degree.

A) $\| \mathrm { F } \| = 99.37 ; \quad \theta = 93.7 ^ { \circ }$
B) $| \mathbf { F } | = 92.20 ; \quad \theta = 89.4 ^ { \circ }$
C) $\mid \mathbf { F } \| = 92.20 ; \theta = 80 ^ { \circ }$
D) $| F | = 94.63 ; \theta = 87.2 ^ { \circ }$