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

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.
- $3 \left( \cos 102 ^ { \circ } \mathbf { i } + \sin 102 ^ { \circ } \mathbf { j } \right)$

• A) \(\sqrt { 3 } , 102 ^ { \circ }\)
• B) \(3,78 ^ { \circ }\)
• C) \(9,78 ^ { \circ }\)
• D) \(3,102 ^ { \circ }\)

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