Find a set of symmetric equations of the line that passes through the given points. $( 3,2,0 ) , ( 9,12,12 )$
A) $\frac { x + 3 } { 10 } = \frac { y - 2 } { 6 } = \frac { z } { 12 }$
B) $\frac { x + 3 } { 6 } = \frac { y + 2 } { 10 } = \frac { z } { 12 }$
C) $\frac { x - 3 } { 6 } = \frac { y + 2 } { 10 } = \frac { z } { 12 }$
D) $\frac { x - 3 } { 6 } = \frac { y - 2 } { 10 } = \frac { z } { 12 }$
E) $\frac { x - 3 } { 6 } = \frac { y - 2 } { 10 } = \frac { - z } { 12 }$

Question

Find a set of symmetric equations of the line that passes through the given points.   $( 3,2,0 ) , ( 9,12,12 )$  
A) $\frac { x + 3 } { 10 } = \frac { y - 2 } { 6 } = \frac { z } { 12 }$
B) $\frac { x + 3 } { 6 } = \frac { y + 2 } { 10 } = \frac { z } { 12 }$
C) $\frac { x - 3 } { 6 } = \frac { y + 2 } { 10 } = \frac { z } { 12 }$
D) $\frac { x - 3 } { 6 } = \frac { y - 2 } { 10 } = \frac { z } { 12 }$
E) $\frac { x - 3 } { 6 } = \frac { y - 2 } { 10 } = \frac { - z } { 12 }$

Quizplus · Accepted Answer

The direction vector of the line is $(9-3, 12-2, 12-0) = (6, 10, 12)$. The symmetric equations are $\frac{x-3}{6} = \frac{y-2}{10} = \frac{z}{12}$.

Find a Set of Symmetric Equations of the Line That (3,2,0),(9,12,12)( 3,2,0 ) , ( 9,12,12 )(3,2,0),(9,12,12)

Find a Set of Symmetric Equations of the Line That $( 3,2,0 ) , ( 9,12,12 )$