Find the Component Form of Vector V Given Its Magnitude $\| \mathbf { v } \| = 7 \text { and the angle it }$

question 66

Multiple Choice

Find the component form of vector v given its magnitude is $\| \mathbf { v } \| = 7 \text { and the angle it }$ makes with the positive $x$ -axis is $\theta = 120 ^ { \circ }$ .

• A) \(\left( \frac { 7 \sqrt { 3 } } { 2 } , \frac { 7 \sqrt { 3 } } { 4 } \right)\)
• B) \(\left( - \frac { \sqrt { 5 } } { 3 } , 7 \frac { \sqrt { 3 } } { 3 } \right)\)
• C) \(\left( \frac { 7 \sqrt { 3 } } { 4 } , \frac { 7 \sqrt { 3 } } { 4 } \right)\)
• D)\(\left( - \frac { 7 } { 2 } , 7 \frac { \sqrt { 3 } } { 2 } \right)\)
• E)\(\left( \frac { 7 } { 2 } , \frac { 7 \sqrt { 5 } } { 2 } \right)\)

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Definitions:

Hospitalization

The process or fact of being admitted to a hospital for treatment, care, or observation.

Histograms

Graphical representations of data distribution where data is grouped into ranges (bins) and illustrated with bars, showing the frequency of data within each range.

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The act or process of giving birth to babies; childbearing.

Skewed

A description of data or distribution that is not symmetrical, leaning more heavily to one side, either to the right or left.