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Find a Set of Symmetric Equations for the Line Through (6,2,2)( 6 , - 2,2 )

Question 198

Multiple Choice

Find a set of symmetric equations for the line through the point and parallel to the specified vector or line.
Point: (6,2,2) ( 6 , - 2,2 ) Parallel to: v=(3,4,10) \mathbf { v } = ( 3 , - 4 , - 10 )


A) Symmetric equations: x63=y+24=z210\frac { x - 6 } { 3 } = \frac { y + 2 } { - 4 } = \frac { z - 2 } { - 10 }
B) Symmetric equations: x64=y+24=z210\frac { x - 6 } { - 4 } = \frac { y + 2 } { - 4 } = \frac { z - 2 } { - 10 }
C) Symmetric equations: x63=y+210=z23\frac { x - 6 } { 3 } = \frac { y + 2 } { - 10 } = \frac { z - 2 } { 3 }
D) Symmetric equations: x64=y+23=z210\frac { x - 6 } { - 4 } = \frac { y + 2 } { 3 } = \frac { z - 2 } { - 10 }
E) Symmetric equations: x610=y+23=z24\frac { x - 6 } { - 10 } = \frac { y + 2 } { 3 } = \frac { z - 2 } { - 4 }

Correct Answer:

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