The components of vectors $\overrightarrow { \mathbf { B } }$ and $\overrightarrow { \mathrm { C } }$ are given as follows: $B _ { x }$ = -9.2 $C _ { x }$ = -4.5 $B _ { y }$ = -6.1 $C _ { y }$ = 4.3 The angle (less than 180°) between vectors $\overrightarrow { \mathbf { B } }$ and $\overrightarrow { \mathrm { C } }$ is closest to
A) 77°.
B) 103°.
C) 10°.
D) 170°.
E) 84°.

Question

The components of vectors $\overrightarrow { \mathbf { B } }$ and $\overrightarrow { \mathrm { C } }$ are given as follows: $B _ { x }$ = -9.2 $C _ { x }$ = -4.5 $B _ { y }$ = -6.1 $C _ {  y }$ = 4.3 The angle (less than 180°) between vectors $\overrightarrow { \mathbf { B } }$ and $\overrightarrow { \mathrm { C } }$ is closest to
A) 77°.
B) 103°.
C) 10°.
D) 170°.
E) 84°.

Quizplus · Accepted Answer

The angle between two vectors can be found using the dot product formula: $\cos \theta = \frac{\overrightarrow{B} \cdot \overrightarrow{C}}{|\overrightarrow{B}||\overrightarrow{C}|}$. Calculating the dot product and magnitudes, the angle $\theta$ is closest to 77°.

The Components of Vectors B→\overrightarrow { \mathbf { B } }B

The Components of Vectors $\overrightarrow { \mathbf { B } }$