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Find a Set of Parametric Equations for the Line Through (6,2,0)( - 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) ( - 6,2,0 ) Parallel to: v=37i+37j5k\mathrm { v } = \frac { 3 } { 7 } \mathrm { i } + \frac { - 3 } { 7 } \mathrm { j } - 5 \mathrm { k }


A) Parametric equations: x=63t,y=43t,z=5tx = - 6 - 3 t , y = 4 - 3 t , z = - 5 t
B) Parametric equations: x=2+3t,y=53t,z=5tx = - 2 + 3 t , y = 5 - 3 t , z = - 5 t
C) Parametric equations: x=5t,y=53t,z=5tx = - 5 t , y = 5 - 3 t , z = - 5 t
D) Parametric equations: x=6+3t,y=23t,z=35tx = - 6 + 3 t , y = 2 - 3 t , z = - 35 t
E) Parametric equations: x=3t,y=5t,z=3tx = 3 t , y = - 5 t , z = - 3 t

Correct Answer:

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