(716, #17) Determine whether the lines : x = -6t, y = 1 + 9t, z = -3t and : x = 1 + 2s, y = 4 - 3s, z = s, are parallel, skew, or intersecting

(716, #17) Determine whether the lines : x = -6t, y = 1 + 9t, z = -3t and : x = 1 + 2s, y = 4 - 3s,
z = s, are parallel, skew, or intersecting. If they intersect, find the point of intersection.
Solution:
The direction vectors for and respectively are < -6, 9, -3 > and < 2, -3, 1 >. The lines are parallel because the vector components are proportional by a factor of -3.

by: nl