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

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: $( - 2,2,0 )$ Parallel to: $\mathbf { v } = \frac { 3 } { 7 } \mathrm { i } - \frac { 4 } { 7 } \mathbf { j } - 3 \mathrm { k }$

• A)Symmetric equations: \(\frac { x } { 3 } = \frac { y - 2 } { - 21 } = \frac { z } { - 4 }\)
• B)Symmetric equations: \(\frac { x + 2 } { 3 } = \frac { y - 2 } { 3 } = \frac { z } { - 21 }\)
• C)Symmetric equations: \(\frac { x + 2 } { 3 } = \frac { y - 2 } { - 4 } = \frac { z - 6 } { - 3 }\)
• D)Symmetric equations: \(\frac { x + 2 } { 3 } = \frac { y - 2 } { - 4 } = \frac { z } { - 21 }\)
• E)Symmetric equations: \(\frac { x + 2 } { - 4 } = \frac { y } { 3 } = \frac { z } { - 21 }\)

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