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

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: $\mathbf { v } = ( 5,6,7 )$

• A)Symmetric equations: \(\frac { x } { 5 } = \frac { y } { 7 } = \frac { z - 7 } { 7 }\)
• B)Symmetric equations: \(\frac { x } { 7 } = \frac { y } { 6 } = \frac { z } { 5 }\)
• C)Symmetric equations: \(\frac { x - 7 } { 5 } = \frac { y } { 6 } = \frac { z } { 7 }\)
• D)Symmetric equations: \(\frac { x } { 5 } = \frac { y - 7 } { 5 } = \frac { z } { 7 }\)
• E)Symmetric equations: \(\frac { x - 7 } { 6 } = \frac { y } { 5 } = \frac { z } { 7 }\)

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An arrangement of data in rows and columns that organizes and displays information clearly and systematically.

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The relationship or ratio between parts of a whole, often referring to balance and symmetry in design or composition.

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