- $\mathrm { P } _ { 1 } ( - 4,6,5 )$

question 47

Multiple Choice

$\text { Calculate the direction of } \overrightarrow { P _ { 1 } P _ { 2 } } \text { and the midpoint of line segment } P _ { 1 } P _ { 2 } \text {. }$
- $\mathrm { P } _ { 1 } ( - 4,6,5 )$ and $\mathrm { P } _ { 2 } ( - 1,2,10 )$

• A) \(\frac { 3 } { 5 \sqrt { 2 } } \mathrm { i } + \frac { - 4 } { 5 \sqrt { 2 } } \mathrm { j } + \frac { 1 } { \sqrt { 2 } } \mathrm { k } ; \left( - \frac { 5 } { 2 } , 4 , \frac { 15 } { 2 } \right)\)
• B) \(\frac { 3 } { 5 \sqrt { 2 } } \mathbf { i } + \frac { - 4 } { 5 \sqrt { 2 } } \mathrm { j } + \frac { 1 } { \sqrt { 2 } } \mathbf { k } ; \left( - \frac { 1 } { 2 } , 1,5 \right)\)
• C) \(\frac { 3 } { 50 } \mathbf { i } - \frac { 2 } { 25 } \mathrm { j } + \frac { 1 } { 10 } \mathbf { k } ; \left( - \frac { 5 } { 2 } , 4 , \frac { 15 } { 2 } \right)\)
• D) \(\frac { 3 } { 50 } \mathbf { i } - \frac { 2 } { 25 } \mathbf { j } + \frac { 1 } { 10 } \mathbf { k } ; \left( - 2,3 , \frac { 5 } { 2 } \right)\)

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Definitions:

Self-Conscious

A psychological state where an individual is acutely aware of their actions, appearance, or other aspects of self in the presence of others, often leading to feelings of scrutiny or embarrassment.

Unconscious

Processes or thoughts that occur without conscious awareness, influencing behavior and decision-making.

Networking

Building and maintaining relationships with people who can provide information, advice, and opportunities as one develops professionally or personally.

Organizational Politics

Activities carried out within an organization to acquire, develop, and use power and other resources to obtain one's preferred outcomes in a situation where there is uncertainty or disagreement.