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Find a Set of Symmetric Equations for the Line Through (7,0,2)( - 7,0,2 )

Question 162

Multiple Choice

Find a set of symmetric equations for the line through the point and parallel to the specified vector or line.
Point: (7,0,2) ( - 7,0,2 ) Parallel to: v=4i+5j3k\mathbf { v } = 4 \mathbf { i } + 5 \mathbf { j } - 3 \mathbf { k }


A) Symmetric equations: x+73=y5=z24\frac { x + 7 } { - 3 } = \frac { y } { 5 } = \frac { z - 2 } { 4 }
B) Symmetric equations: x+74=y5=z23\frac { x + 7 } { 4 } = \frac { y } { 5 } = \frac { z - 2 } { - 3 }
C) Symmetric equations: x+74=z5=y23\frac { x + 7 } { 4 } = \frac { z } { 5 } = \frac { y - 2 } { - 3 }
D) Symmetric equations: x+54=y5=z23\frac { x + 5 } { 4 } = \frac { y } { 5 } = \frac { z - 2 } { - 3 }
E) Symmetric equations: x+74=y+75=z23\frac { x + 7 } { 4 } = \frac { y + 7 } { 5 } = \frac { z - 2 } { - 3 }

Correct Answer:

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