Find a set of symmetric equations of the line through the point $( 8,5,3 ) \text { parallel to }$ the vector $\mathrm { v } = \langle 2,4,4 \}$.
A) $\frac { x - 8 } { - 3 } = \frac { z - 5 } { 4 } = \frac { y - 3 } { - 7 }$
B) $\frac { x - 8 } { 2 } = \frac { y - 5 } { 4 } = \frac { z - 3 } { 4 }$
C) $\frac { x - 8 } { 2 } = \frac { y + 5 } { 4 } = \frac { z + 3 } { 4 }$
D) $\frac { x - 8 } { - 3 } = \frac { y - 5 } { 4 } = \frac { z - 3 } { - 7 }$
E) $\frac { x - 8 } { 2 } = \frac { y + 5 } { 4 } = \frac { z - 3 } { 4 }$

Question

Find  a set of symmetric equations of the line through the point $( 8,5,3 ) \text { parallel to }$ the vector $\mathrm { v } = \langle 2,4,4 \}$.
A) $\frac { x - 8 } { - 3 } = \frac { z - 5 } { 4 } = \frac { y - 3 } { - 7 }$
B) $\frac { x - 8 } { 2 } = \frac { y - 5 } { 4 } = \frac { z - 3 } { 4 }$
C) $\frac { x - 8 } { 2 } = \frac { y + 5 } { 4 } = \frac { z + 3 } { 4 }$
D) $\frac { x - 8 } { - 3 } = \frac { y - 5 } { 4 } = \frac { z - 3 } { - 7 }$
E) $\frac { x - 8 } { 2 } = \frac { y + 5 } { 4 } = \frac { z - 3 } { 4 }$

Quizplus · Accepted Answer

The symmetric equations of a line can be found using the formula $\frac{x-x_0}{a} = \frac{y-y_0}{b} = \frac{z-z_0}{c}$, where $(x_0, y_0, z_0)$ is a point on the line and $\langle a, b, c \rangle$ is a direction vector parallel to the line. Given the point $(8,5,3)$ and the direction vector $\langle 2,4,4 \rangle$, the correct symmetric equations are $\frac{x-8}{2} = \frac{y-5}{4} = \frac{z-3}{4}$.

Find a Set of Symmetric Equations of the Line (8,5,3) parallel to ( 8,5,3 ) \text { parallel to }(8,5,3) parallel to

Find a Set of Symmetric Equations of the Line $( 8,5,3 ) \text { parallel to }$