?Find a Unit Vector in the Direction Of $\mathbf { u } = 4 \mathbf { i } - 2 \mathbf { j }$

question 28

Multiple Choice

?Find a unit vector in the direction of $\mathbf { u } = 4 \mathbf { i } - 2 \mathbf { j }$ . ?

• A)? \(\left\langle - \frac { 2 \sqrt { 5 } } { 5 } , \frac { \sqrt { 5 } } { 5 } \right\rangle\)
• B)? \(\left\langle \frac { 4 \sqrt { 5 } } { 5 } , - \frac { 2 \sqrt { 5 } } { 5 } \right\rangle\)
• C)? \(\left\langle \frac { 8 \sqrt { 5 } } { 5 } , - \frac { 4 \sqrt { 5 } } { 5 } \right\rangle\)
• D)? \(\left\langle \frac { 2 \sqrt { 5 } } { 5 } , - \frac { 2 \sqrt { 5 } } { 5 } \right\rangle\)
• E)? \(\left\langle \frac { 2 \sqrt { 5 } } { 5 } , - \frac { \sqrt { 5 } } { 5 } \right\rangle\)

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Definitions:

Mirror Neurons

Specialized neurons that fire both when an individual performs an action and when the individual observes the same action being performed by another, playing a role in learning and empathy.

Affective Attunement

The process of sensitively responding to another's emotional state, facilitating a sense of connection and understanding.

Cognitive Resonance

A psychological state in which an individual's beliefs, ideas, or cognitive elements are in harmony, leading to a sense of internal consistency.

Neural Integration

The process by which the nervous system combines information from different sources and brain regions to create a coordinated response or perception.