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

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: $( 6 , - 2,2 )$ Parallel to: $\mathbf { v } = ( 3 , - 4 , - 10 )$

• A)Symmetric equations: \(\frac { x - 6 } { 3 } = \frac { y + 2 } { - 4 } = \frac { z - 2 } { - 10 }\)
• B)Symmetric equations: \(\frac { x - 6 } { - 4 } = \frac { y + 2 } { - 4 } = \frac { z - 2 } { - 10 }\)
• C)Symmetric equations: \(\frac { x - 6 } { 3 } = \frac { y + 2 } { - 10 } = \frac { z - 2 } { 3 }\)
• D)Symmetric equations: \(\frac { x - 6 } { - 4 } = \frac { y + 2 } { 3 } = \frac { z - 2 } { - 10 }\)
• E)Symmetric equations: \(\frac { x - 6 } { - 10 } = \frac { y + 2 } { 3 } = \frac { z - 2 } { - 4 }\)

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