Find a Set of Parametric Equations of the Line $( 3 , - 4 , - 3 )$

question 53

Multiple Choice

Find a set of parametric equations of the line.
Passes through $( 3 , - 4 , - 3 )$ and is parallel to $\mathbf { v } = ( 6 , - 6,3 )$ .

• A) \(\begin{array} { l }
• x = 3 + 6 t \\
• y = - 4 - 6 t \\
• z = - 3 + 3 t
• \end{array}\)
• B) \(\begin{array} { l }
• x = 3 - 6 t \\
• y = - 4 - 6 t \\
• z = - 3 + 3 t
• \end{array}\)
• C) \(\begin{array} { l }
• x = 3 + 6 t \\
• y = - 4 + 6 t \\
• z = - 3 + 3 t
• \end{array}\)
• D) \(\begin{array} { l }
• x = 3 - 6 t \\
• y = - 4 - 6 t \\
• z = - 3 - 3 t
• \end{array}\)
• E) \(\begin{array} { l }
• x = 3 + 6 t \\
• y = - 4 - 6 t \\
• z = - 3 - 3 t
• \end{array}\)

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Definitions:

Exponential Distribution

A probability distribution that describes the time between events in a process where events occur continuously and independently at a constant average rate.

Service Times

The duration or periods required to complete specific tasks, especially in the context of customer service or manufacturing.

Probability

A measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Process Simulation

A technique used to model, analyze, and predict the behavior of processes, often through computer software, to enhance efficiency and decision-making.