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

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: $( - 7,0,2 )$ Parallel to: $\mathbf { v } = 4 \mathbf { i } + 5 \mathbf { j } - 3 \mathbf { k }$

• A)Symmetric equations: \(\frac { x + 7 } { - 3 } = \frac { y } { 5 } = \frac { z - 2 } { 4 }\)
• B)Symmetric equations: \(\frac { x + 7 } { 4 } = \frac { y } { 5 } = \frac { z - 2 } { - 3 }\)
• C)Symmetric equations: \(\frac { x + 7 } { 4 } = \frac { z } { 5 } = \frac { y - 2 } { - 3 }\)
• D)Symmetric equations: \(\frac { x + 5 } { 4 } = \frac { y } { 5 } = \frac { z - 2 } { - 3 }\)
• E)Symmetric equations: \(\frac { x + 7 } { 4 } = \frac { y + 7 } { 5 } = \frac { z - 2 } { - 3 }\)

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The level of production at which a company achieves the highest possible profit margin, given its costs and market demand.

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The additional output produced by using one more unit of a variable input, holding other inputs constant.