Write the Vector V in the Form Ai + Bj $$\| \mathbf { v } \| = 15 , \alpha = 210 ^ { \circ }$$

question 170

Multiple Choice

Write the vector v in the form ai + bj, given its magnitude v and the angle  it makes with the positive x-axis.
- $$\| \mathbf { v } \| = 15 , \alpha = 210 ^ { \circ }$$

• A) \(\mathbf { v } = 15 \left( \frac { 15 \sqrt { 3 } } { 2 } \mathbf { i } - \frac { 15 } { 2 } \mathbf { j } \right)\)
• B) \(v = 15 \left( - \frac { \sqrt { 2 } } { 2 } i - \frac { \sqrt { 2 } } { 2 } j \right)\)
• C) \(\mathbf { v } = 15 \left( - \frac { 15 \sqrt { 3 } } { 2 } \mathbf { i } - \frac { 1 } { 2 } \mathbf { j } \right)\)
• D) \(\mathbf { v } = 15 \left( - \frac { 15 } { 2 } \mathbf { i } - \frac { 15 \sqrt { 3 } } { 2 } \mathbf { j } \right)\)

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Definitions:

Kilograms

A metric unit of mass equal to 1000 grams.

Ounces

A unit of weight in the avoirdupois system, equal to 1/16 of a pound or approximately 28.35 grams.

Liters

A metric unit of volume equal to 1,000 cubic centimeters or about 0.26 gallons.

Milligrams

A reiterated definition: A metric unit of weight that equals to 0.001 grams, frequently used in pharmaceutical measurements.