Find the Magnitude and Direction Angle Of $\mathbf { v } = 6 \left( \cos 80 ^ { \circ } \mathbf { i } + \sin 80 ^ { \circ } \mathbf { j } \right)$

Multiple Choice

Find the magnitude and direction angle of $\mathbf { v } = 6 \left( \cos 80 ^ { \circ } \mathbf { i } + \sin 80 ^ { \circ } \mathbf { j } \right)$ .

A) $\| \mathbf { v } \| = \sqrt { 6 } ; \theta = 80 ^ { \circ }$
B) $\| \mathbf { v } \| = 6 ; \theta = 100 ^ { \circ }$
C) $\| \mathbf { v } \| = 6 ; \theta = 80 ^ { \circ }$
D) $\| \mathbf { v } \| = 6 ; \theta = 10 ^ { \circ }$
E) $\| \mathbf { v } \| = \sqrt { 6 } ; \theta = 100 ^ { \circ }$