Find the Component Form Of $\mathbf { v }$ If $\| \mathbf { v } \| = 8$

question 83

Multiple Choice

Find the component form of $\mathbf { v }$ if $\| \mathbf { v } \| = 8$ and the angle it makes with the $x$ -axis is $120 ^ { \circ }$ .

• A) \(\langle - 4 \sqrt { 3 } , 4 \rangle\)
• B) \(\langle - 8,8 \sqrt { 3 } \rangle\)
• C) \(\langle - 8 \sqrt { 3 } , - 8 \rangle\)
• D) \(\langle - 4,4 \sqrt { 3 } \rangle\)
• E) \(\langle - 4 \sqrt { 2 } , 4 \sqrt { 2 } \rangle\)

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Definitions:

Collective Unconscious

A concept in analytical psychology, coined by Carl Jung, referring to structures of the unconscious mind shared among beings of the same species.

Carl Jung

A Swiss psychiatrist and psychoanalyst who founded analytical psychology, known for concepts like archetypes, the collective unconscious, and synchronicity.

Self-actualization

The realization or fulfillment of one's talents and potentialities, considered as the drive for personal development and peak experiences.

Humanistic Perspective

A psychological approach that emphasizes personal worth, the centrality of human values, and the creative, active nature of human beings.