Find the Angle Between the Vectors $\mathbf { u }$ And $\mathbf { v }$

question 33

Multiple Choice

Find the angle between the vectors $\mathbf { u }$ and $\mathbf { v }$ . Express your answer in degrees and round to the nearest tenth of a degree.
$$\mathbf { u } = 6 \mathbf { i } - 3 \mathbf { j } - 9 \mathbf { k } , \mathbf { v } = - \mathbf { i } - \mathbf { j } - 6 \mathbf { k }$$

• A) \(36.4 ^ { \circ }\)
• B) \(47.5 ^ { \circ }\)
• C) \(53.6 ^ { \circ }\)
• D) \(90 ^ { \circ }\)
• E) \(42.5 ^ { \circ }\)

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Definitions:

Standard Deviation

A measure of the dispersion or variability within a set of numerical data, indicating how spread out the values are from the mean.

Independent Variables

Variables in an experiment or model that are manipulated or classified to determine their effect on dependent variables.

Standard Deviation

A way to quantify how much spread or differentiation exists in a dataset.

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A retail store or distribution channel through which products are sold to consumers.