4) Line L is defined by the following equation:
Line M is defined by:
Find a and b, if known that lines are parallel to each other.
5) Line L is defined by intersection of two planes
2x+3y?z = 1 and -2x+y+2z = 0
Plane P is defined by -2x + y ?z = 4
Find any directional vector for the line, point of intersection of line and plane
6) Points A(0,1,3), B(-l, 3, 7), C( -4, 1, 0) and D(a, -1, 0). For which value of a will all four points lie in the same plane?
Please see the attached file for the fully formatted problems.
Points are found that allow lines to be parallel or in the same plane. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.