Find Parametric Equations for the Line Through the Point $( 3,4,5 )$

question 25

Multiple Choice

Find parametric equations for the line through the point $( 3,4,5 )$ that is parallel to the plane $x + y + z = - 15$ and perpendicular to the line $x = 15 + t , y = 12 - t , z = 3 t$ .

• A) \(x = 4 t + 2 , y = - 2 t + 4 , z = - 2 t + 5\)
• B) \(x = 4 t + 2 , y = - 2 t + 4 , z = 0\)
• C) \(x = 4 t , y = - 2 t , z = - 2 t + 5\)
• D) \(x = 4 t , y = - 2 t + 4 , z = - 2 t\)
• E) \(x = 4 t + 3 , y = - 2 t + 4 , z = - 2 t + 5\)

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Definitions:

Self-control

Self-control is the ability to regulate one's emotions, thoughts, and behavior in the face of temptations and impulses.

Equity Theory

An assumption that how much people are willing to contribute to an organization depends on their assessment of the fairness, or equity, of the rewards they will receive in exchange.

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The assumption that motivation depends not only on how much a person wants something but also on how likely he or she is to get it.