- $\mathrm { P } _ { 1 } ( 7,8,5 )$

question 120

Multiple Choice

$\text { Calculate the direction of } \overrightarrow { P _ { 1 } P _ { 2 } } \text { and the midpoint of line segment } P _ { 1 } P _ { 2 } \text {. }$
- $\mathrm { P } _ { 1 } ( 7,8,5 )$ and $\mathrm { P } _ { 2 } ( 15,16,9 )$

• A) \(\frac { 2 } { 3 } \mathbf { i } + \frac { 2 } { 3 } \mathbf { j } + \frac { 1 } { 3 } \mathbf { k } ; ( 11,12,7 )\)
• B) \(\frac { 7 } { 3 } \mathbf { i } + \frac { 8 } { 3 } \mathbf { j } + \frac { 5 } { 3 } \mathbf { k } ; \left( \frac { 7 } { 2 } , 4 , \frac { 5 } { 2 } \right)\)
• C) \(\frac { 2 } { 3 } \mathbf { i } + \frac { 2 } { 3 } \mathrm { j } + \frac { 1 } { 3 } \mathbf { k } ; ( 4,4,2 )\)
• D) \(\frac { 2 } { 3 } \mathbf { i } + \frac { 2 } { 3 } \mathrm { j } + \frac { 1 } { 3 } \mathbf { k } ; \left( \frac { 15 } { 2 } , 8 , \frac { 9 } { 2 } \right)\)

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Definitions:

Sleepwalking

A disorder that involves walking or carrying out complex behaviors while not fully awake, typically occurring during deep sleep.

Insomnia

A common sleep disorder that involves difficulty falling asleep, staying asleep, or both, leading to impaired daytime functioning.

Divorce

The legal dissolution of a marriage by a court or other competent body.

Sleepwalking

A behavioral disorder that occurs during deep sleep, resulting in walking or performing other complex behaviors while still mostly asleep.