Write the Vector V in the Form Ai + Bj $$\| \mathbf { v } \| = 15 , \alpha = 45 ^ { \circ }$$

question 154

Multiple Choice

Write the vector v in the form ai + bj, given its magnitude v and the angle α it makes with the positive x-axis.
- $$\| \mathbf { v } \| = 15 , \alpha = 45 ^ { \circ }$$

• A) \(v = 15 \left( \frac { 15 \sqrt { 3 } } { 2 } \mathbf { i } + \frac { 15 } { 2 } \mathbf { j } \right)\)
• B) \(\mathbf { v } = 15 \left( \frac { 15 } { 2 } \mathbf { i } + \frac { 15 \sqrt { 3 } } { 2 } \mathbf { j } \right)\)
• C) \(v = 15 \left( - \frac { \sqrt { 2 } } { 2 } \mathrm { i } - \frac { \sqrt { 2 } } { 2 } \mathrm { j } \right\}\)
• D) \(\mathbf { v } = 15 \left( \frac { \sqrt { 2 } } { 2 } \mathrm { i } + \frac { \sqrt { 2 } } { 2 } \mathrm { j } \right)\)

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