Use the Vectors U and V to Find U × $\mathbf { u } = 6 \mathbf { i } - \mathbf { j } + 7 \mathbf { k } \quad \mathbf { v } = 5 \mathbf { i } + 5 \mathbf { j } - \mathbf { k }$

question 108

Multiple Choice

Use the vectors u and v to find u × (2v) . $\mathbf { u } = 6 \mathbf { i } - \mathbf { j } + 7 \mathbf { k } \quad \mathbf { v } = 5 \mathbf { i } + 5 \mathbf { j } - \mathbf { k }$

• A) \(\mathbf { u } \times ( 2 \mathbf { v } ) = - 68 \mathbf { i } + 82 \mathbf { j } + 82 \mathbf { k }\)
• B) \(\mathbf { u } \times ( 2 \mathbf { v } ) = - 68 \mathbf { i } + 82 \mathbf { j } + 70 \mathbf { k }\)
• C) \(\mathbf { u } \times ( 2 \mathbf { v } ) = - 68 \mathbf { i } + 70 \mathbf { j } + 70 \mathbf { k }\)
• D) \(\mathbf { u } \times ( 2 \mathbf { v } ) = 82 \mathbf { i } + 82 \mathbf { j } + 70 \mathbf { k }\)
• E) \(\mathbf { u } \times ( 2 \mathbf { v } ) = 70 \mathbf { i } + 82 \mathbf { j } + 70 \mathbf { k }\)

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Definitions:

Face-To-Face Interviews

A method of data collection where the interviewer and respondent are in direct contact, allowing for immediate feedback and clarification.

Good Judge Of Personality

A term describing individuals who have the ability to accurately understand and assess others' personalities, emotions, and motivations.

Extraversion

A personality trait described by the tendency to be sociable, outgoing, and energized by interactions with others.

Openness

One of the five major dimensions of personality in the Big Five personality traits, characterized by imagination, curiosity, and a broad range of interests.