Find a Set of Parametric Equations for the Line Through $( 3 , - 6,2 )$

question 152

Multiple Choice

Find a set of parametric equations for the line through the point and parallel to the specified vector or line.(For each line,write the direction numbers as integers. )
Point: $( 3 , - 6,2 )$ Parallel to: $x = 5 + 2 t , y = 7 - 4 t , z = - 2 + t$

• A)Parametric equations: \(x = 3 + t , y = - 6 - 4 t , z = 2 + 2 t\)
• B)Parametric equations: \(x = 2 + 2 t , y = 2 - 4 t , z = 2 + t\)
• C)Parametric equations: \(x = 2 + 2 t , y = 3 - 4 t , z = - 6 + t\)
• D)Parametric equations: \(x = - 6 + 2 t , y = - 6 - 4 t , z = 3 + t\)
• E)Parametric equations: \(x = 3 + 2 t , y = - 6 - 4 t , z = 2 + t\)

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