# How to Find the Equation of a Plane From Two Lines

GROUPS:
 If we have two lines in 3-D space,z = a*x + cz = b*y + dHow do I find the plane that passes through those lines?
Answer
1 year ago
2 Replies
 Michael Rogers 1 Vote 1. Your equations define planes, not lines.2. Generically lines with independent coefficients are skew.
Answer
1 year ago
 Hi Onur,Yes, those are each an equation for a line in 2-D space.If you mean for equation 1 to define a line in the X-Z plane, then you must also require y=0.If you mean equation 2 to define a line in the Y-Z plane then x=0 is required.In 3-space, two lines may or may not lie in the same plane. In linear algebra, they lie in the same plane iff there is an R3->R2 projection operator which leaves both lines unchanged.Best,David
Answer
1 year ago