Determine whether the lines given below intersect, and, if so, find the point of intersection. $$\begin{array} { l }
\frac { x - 1 } { 5 } = \frac { y - 2 } { 7 } = \frac { z + 8 } { 5 } \
\frac { x - 3 } { 1 } = \frac { x - 15 } { - 2 } = \frac { z - 5 } { - 2 }
\end{array}$$
A) The lines are parallel.
B) The lines intersect at $( 2,6 , - 33 )$.
C) The lines intersect at $( 7,11 , - 3 )$.
D) The lines intersect at $( 6,9 , - 1 )$.
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. $$\begin{array} { l } 
\frac { x - 1 } { 5 } = \frac { y - 2 } { 7 } = \frac { z + 8 } { 5 } \
\frac { x - 3 } { 1 } = \frac { x - 15 } { - 2 } = \frac { z - 5 } { - 2 }
\end{array}$$
A) The lines are parallel.
B) The lines intersect at $( 2,6 , - 33 )$.
C) The lines intersect at $( 7,11 , - 3 )$.
D) The lines intersect at $( 6,9 , - 1 )$.
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. $$\begin{array} { l } 
\frac { x - 1 } { 5 } = \frac { y - 2 } { 7 } = \frac { z + 8 } { 5 } \
\frac { x - 3 } { 1 } = \frac { x - 15 } { - 2 } = \frac { z - 5 } { - 2 }
\end{array}$$
A) The lines are parallel.
B) The lines intersect at $( 2,6 , - 33 )$.
C) The lines intersect at $( 7,11 , - 3 )$.
D) The lines intersect at $( 6,9 , - 1 )$.
E) The lines are not parallel but do not intersect.

Determine Whether the Lines Given Below Intersect, And, If So