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Find the Component Of u\mathbf { u } Along Y\mathbf { Y }

question 15

Essay

Find the component of u\mathbf { u }

along Y\mathbf { Y }
if u=12i+2j\mathbf { u } = - \frac { 1 } { 2 } \mathbf { i } + 2 \mathbf { j }
and v=2i+12j\mathbf { v } = - 2 \mathbf { i } + \frac { 1 } { 2 } \mathbf { j }
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Definitions:

Conscientiousness

A personality trait characterized by thoughtfulness, good impulse control, goal-directed behaviors, and organization.

Impulsivity

The inclination to make decisions impulsively, showing conduct that lacks careful thought, contemplation, or regard for potential outcomes.

Ventral Striatum

A component of the brain's reward system that plays a significant role in motivation, pleasure, and reinforcement learning.

Amygdala

A part of the brain's limbic system, significantly involved in emotion regulation, emotional learning, and the formation of memories related to emotional events.

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