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Find the Magnitude and Direction Angle for the Following Vector 3(cos102i+sin102j)3 \left( \cos 102 ^ { \circ } \mathbf { i } + \sin 102 ^ { \circ } \mathbf { j } \right)

Question 59

Multiple Choice

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded to the nearest tenth.
- 3(cos102i+sin102j) 3 \left( \cos 102 ^ { \circ } \mathbf { i } + \sin 102 ^ { \circ } \mathbf { j } \right)


A) 3,102\sqrt { 3 } , 102 ^ { \circ }
B) 3,783,78 ^ { \circ }
C) 9,789,78 ^ { \circ }
D) 3,1023,102 ^ { \circ }

Correct Answer:

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