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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Definitions:

Supply

The aggregate supply of a service or good ready for consumer purchase.

Demand Curve

A graph showing the relationship between the price of a good and the quantity of the good that consumers are willing and able to purchase at various prices.

Supply Curve

A graph showing the relationship between the quantity of a good that producers are willing to sell and the price of the good.

Y Axis

The vertical axis in a graph or chart, typically used to represent the range of a second variable in comparison to the first variable on the X axis.