Find a Set of Symmetric Equations of the Line That $( 5,0,5 )$

question 103

Multiple Choice

Find a set of symmetric equations of the line that passes through the points $( 5,0,5 )$ and $( 7,8 , - 6 )$

• A) \(\frac { x } { 7 } = \frac { y } { 8 } = \frac { z } { - 6 }\)
• B) \(\frac { x - 5 } { 2 } = \frac { y - 8 } { 8 } = \frac { z - 6 } { - 11 }\)
• C) \(\frac { x - 5 } { - 2 } = \frac { y } { 8 } = \frac { z - 5 } { 11 }\)
• D) \(\frac { x + 2 } { 5 } = y - 8 = \frac { z - 11 } { 5 }\)
• E) \(\frac { x - 5 } { 2 } = \frac { y } { 8 } = \frac { z - 5 } { - 11 }\)

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Definitions:

Cutaneous Receptor

A sensory receptor found in the skin that responds to various stimuli like touch, pressure, heat, or cold.

Equilibrium

A state of balance or stability within a system, where competing forces or influences are in equal opposition.

Sound Waves

Vibrations that travel through air or another medium and can be heard when they reach a person's or animal's ear.

Otolith

Small calcified structures found in the inner ear of vertebrates, crucial for balance and hearing by detecting motion and orientation.