Find a Set of Parametric Equations for the Line Through $( 2 , - 5,3 )$

question 59

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: $( 2 , - 5,3 )$ Parallel to: $v = ( 4 , - 3 , - 6 )$

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

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