Find a Set of Parametric Equations for the Line Through $( - 7,2,2 )$

question 17

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

• A)Parametric equations: \(x = 3 + - 7 t , y = 2 + 6 t , z = 2 - 2 t\)
• B)Parametric equations: \(x = - 7 + 3 t , y = 6 + 2 t , z = 2 - 2 t\)
• C)Parametric equations: \(x = - 7 + 2 t , y = 2 + 6 t , z = 2 - 2 t\)
• D)Parametric equations: \(x = - 7 + 3 t , y = 2 + 6 t , z = 2 - 2 t\)
• E)Parametric equations: \(x = 2 + 3 t , y = 2 + 6 t , z = 2 - 2 t\)