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

Question

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

Quizplus · Accepted Answer

Since the line is parallel to the vector $\mathrm{v}=\{8,5,2\}$, we can write the parametric equation of the line as $\begin{cases} x=-7+8s \ y=5+5s \ z=4+2s \end{cases}$, where $s$ is a parameter. Therefore, the correct choice is $\boxed{	ext{(E)}}$.

Find a Set of Parametric Equations of the Line (−7,5,4) parallel to ( - 7,5,4 ) \text { parallel to }(−7,5,4) parallel to

Find a Set of Parametric Equations of the Line $( - 7,5,4 ) \text { parallel to }$