Find a Set of Parametric Equations for the Line Through $( - 6,2,0 )$

question 16

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: $( - 6,2,0 )$ Parallel to: $\mathrm { v } = \frac { 3 } { 7 } \mathrm { i } + \frac { - 3 } { 7 } \mathrm { j } - 5 \mathrm { k }$

• A)Parametric equations: \(x = - 6 - 3 t , y = 4 - 3 t , z = - 5 t\)
• B)Parametric equations: \(x = - 2 + 3 t , y = 5 - 3 t , z = - 5 t\)
• C)Parametric equations: \(x = - 5 t , y = 5 - 3 t , z = - 5 t\)
• D)Parametric equations: \(x = - 6 + 3 t , y = 2 - 3 t , z = - 35 t\)
• E)Parametric equations: \(x = 3 t , y = - 5 t , z = - 3 t\)

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