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Find a Set of Symmetric Equations for the Line Through (4,4,5)( 4 , - 4,5 )

Question 145

Multiple Choice

Find a set of symmetric equations for the line through the point and parallel to the specified vector or line.
Point: (4,4,5) ( 4 , - 4,5 ) Parallel to: x=5+2t,y=74t,z=2+tx = 5 + 2 t , y = 7 - 4 t , z = - 2 + t


A) Symmetric equations: x42=y44=z5\frac { x - 4 } { 2 } = \frac { y - 4 } { - 4 } = z - 5
B) Symmetric equations: x44=y+42=z5\frac { x - 4 } { - 4 } = \frac { y + 4 } { 2 } = z - 5
C) Symmetric equations: x42=y44=z4\frac { x - 4 } { 2 } = \frac { y - 4 } { - 4 } = z - 4
D) Symmetric equations: x52=y+44=z4\frac { x - 5 } { 2 } = \frac { y + 4 } { - 4 } = z - 4
E) Symmetric equations: x42=y+44=z5\frac { x - 4 } { 2 } = \frac { y + 4 } { - 4 } = z - 5

Correct Answer:

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