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Find a Set of Symmetric Equations for the Line Through v=(5,6,7)\mathbf { v } = ( 5,6,7 )

Question 41

Multiple Choice

Find a set of symmetric equations for the line through the point and parallel to the specified vector or line.
Point: (7,0,0)
Parallel to: v=(5,6,7) \mathbf { v } = ( 5,6,7 )


A) Symmetric equations: x5=y7=z77\frac { x } { 5 } = \frac { y } { 7 } = \frac { z - 7 } { 7 }
B) Symmetric equations: x7=y6=z5\frac { x } { 7 } = \frac { y } { 6 } = \frac { z } { 5 }
C) Symmetric equations: x75=y6=z7\frac { x - 7 } { 5 } = \frac { y } { 6 } = \frac { z } { 7 }
D) Symmetric equations: x5=y75=z7\frac { x } { 5 } = \frac { y - 7 } { 5 } = \frac { z } { 7 }
E) Symmetric equations: x76=y5=z7\frac { x - 7 } { 6 } = \frac { y } { 5 } = \frac { z } { 7 }

Correct Answer:

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