Find Parametric Equations for the Line Described Below $P ( - 3,4 , - 2 )$

question 95

Multiple Choice

Find parametric equations for the line described below.
-The line through the point $P ( - 3,4 , - 2 )$ in the direction of the vector $\langle - 8,4 , - 5 \rangle$

• A) \(x = - 8 t - 3 , y = 4 t + 4 , z = - 5 t - 2\)
• B) \(x = 8 t - 3 , y = 4 t + 4 , z = - 5 t - 2\)
• C) \(x = 8 t + 3 , y = 4 t - 4 , z = - 5 t + 2\)
• D) \(x = - 8 t + 3 , y = 4 t - 4 , z = - 5 t + 2\)

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Definitions:

Visual-Spatial

Relating to the ability to perceive the spatial relationship between objects, often involved in tasks requiring visual imagery or navigation.

Hemisphere

Half of a spherical or roughly spherical body, especially one of the halves into which the Earth is divided.

Corpus Callosum

A thick band of nerve fibers that divides the cerebral cortex lobes into left and right hemispheres, facilitating communication between the two sides.

Fibers

Threadlike structures forming animal or plant tissue; in neuroscience, often refers to axons and dendrites of neurons.