Determine whether the lines given below intersect, and, if so, find the point of intersection. $$\begin{array} { l }
x = - 6 + 2 t , y = 9 + 4 t , z = - 13 + 3 t \
x = 4 + 2 s , y = 25 + 2 s , z = 2 + 3 s
\end{array}$$
A) The lines intersect at $( - 4,24 , - 4 )$.
B) The lines are parallel.
C) The lines intersect at $( 3,24 , - 7 )$.
D) The lines intersect at $( 0,21 , - 4 )$.
E) The lines are not parallel but do not intersect.

Question

Determine whether the lines given below intersect, and, if so, find the point of intersection. $$\begin{array} { l } 
x = - 6 + 2 t , y = 9 + 4 t , z = - 13 + 3 t \
x = 4 + 2 s , y = 25 + 2 s , z = 2 + 3 s
\end{array}$$
A) The lines intersect at $( - 4,24 , - 4 )$.
B) The lines are parallel.
C) The lines intersect at $( 3,24 , - 7 )$.
D) The lines intersect at $( 0,21 , - 4 )$.
E) The lines are not parallel but do not intersect.

Quizplus · Accepted Answer

The Answer of Determine whether the lines given below intersect, and, if so, find the point of intersection. $$\begin{array} { l } 
x = - 6 + 2 t , y = 9 + 4 t , z = - 13 + 3 t \
x = 4 + 2 s , y = 25 + 2 s , z = 2 + 3 s
\end{array}$$
A) The lines intersect at $( - 4,24 , - 4 )$.
B) The lines are parallel.
C) The lines intersect at $( 3,24 , - 7 )$.
D) The lines intersect at $( 0,21 , - 4 )$.
E) The lines are not parallel but do not intersect.

Determine Whether the Lines Given Below Intersect, And, If So x=−6+2t,y=9+4t,z=−13+3tx=4+2s,y=25+2s,z=2+3s\begin{array} { l } x = - 6 + 2 t , y = 9 + 4 t , z = - 13 + 3 t \\x = 4 + 2 s , y = 25 + 2 s , z = 2 + 3 s\end{array}x=−6+2t,y=9+4t,z=−13+3tx=4+2s,y=25+2s,z=2+3s​

Determine Whether the Lines Given Below Intersect, And, If So $\begin{array} { l } x = - 6 + 2 t , y = 9 + 4 t , z = - 13 + 3 t \\x = 4 + 2 s , y = 25 + 2 s , z = 2 + 3 s\end{array}$