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Find a Set of Symmetric Equations for the Line Through (2,2,0)( - 2,2,0 )

Question 21

Multiple Choice

Find a set of symmetric equations for the line through the point and parallel to the specified vector or line.
Point: (2,2,0) ( - 2,2,0 ) Parallel to: v=37i47j3k\mathbf { v } = \frac { 3 } { 7 } \mathrm { i } - \frac { 4 } { 7 } \mathbf { j } - 3 \mathrm { k }


A) Symmetric equations: x3=y221=z4\frac { x } { 3 } = \frac { y - 2 } { - 21 } = \frac { z } { - 4 }
B) Symmetric equations: x+23=y23=z21\frac { x + 2 } { 3 } = \frac { y - 2 } { 3 } = \frac { z } { - 21 }
C) Symmetric equations: x+23=y24=z63\frac { x + 2 } { 3 } = \frac { y - 2 } { - 4 } = \frac { z - 6 } { - 3 }
D) Symmetric equations: x+23=y24=z21\frac { x + 2 } { 3 } = \frac { y - 2 } { - 4 } = \frac { z } { - 21 }
E) Symmetric equations: x+24=y3=z21\frac { x + 2 } { - 4 } = \frac { y } { 3 } = \frac { z } { - 21 }

Correct Answer:

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