The components of vectors $\overrightarrow { \mathrm { B } }$ 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 $\overrightarrow { \mathrm { B } }$ and $\overrightarrow { \mathrm { C } }$ is closest to
A)77°.
B)103°.
C)10°.
D)170°.
E)84°.

Question

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 is closest to 77°.

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

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