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

question 58

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.
$$\mathbf { u } = - 5 \mathbf { i } - 6 \mathbf { j } - \mathbf { k } , \mathbf { v } = 6 \mathbf { i } + \mathbf { j } + \mathbf { k }$$

• A) \(37.3 ^ { \circ }\)
• B) \(49.7 ^ { \circ }\)
• C) \(52.7 ^ { \circ }\)
• D) \(90 ^ { \circ }\)
• E) \(139.7 ^ { \circ }\)

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Definitions:

Extroversion

A personality trait characterized by outgoingness, high energy, and sociability.

Agreeableness

A personality trait in the Big Five personality model characterized by qualities such as kindness, warmth, cooperation, and empathy towards others.

Dimensional Approach

A method of understanding mental health disorders by considering them on a continuum or spectrum rather than categorizing them as either present or absent.