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Find a Set of Symmetric Equations for the Line Through x=3+3t,y=52t,z=7+tx = 3 + 3 t , y = 5 - 2 t , z = - 7 + t

Question 32

Multiple Choice

Find a set of symmetric equations for the line through the point and parallel to the specified vector or line.
Point: (5,0,2)
Parallel to: x=3+3t,y=52t,z=7+tx = 3 + 3 t , y = 5 - 2 t , z = - 7 + t


A) Symmetric equations: x+33=y22=z2\frac { x + 3 } { 3 } = \frac { y - 2 } { - 2 } = z - 2
B) Symmetric equations: x23=y22=z2\frac { x - 2 } { 3 } = \frac { y - 2 } { - 2 } = z - 2
C) Symmetric equations: x52=y3=z2\frac { x - 5 } { - 2 } = \frac { y } { 3 } = z - 2
D) Symmetric equations: z53=y2=x2\frac { z - 5 } { 3 } = \frac { y } { - 2 } = x - 2
E) Symmetric equations: x53=y2=z2\frac { x - 5 } { 3 } = \frac { y } { - 2 } = z - 2

Correct Answer:

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