Prove that the two lines x+1/3=y+3/5=z+5/7 and x-2/1=y-4/4=z-6/7 are coplanar?
1 Answer
We showed the two lines meet at
Explanation:
I'll guess the slash is the fraction bar:
We'll assume without proof if a plane includes two points then it includes the line between the two points.
So if we find three points, two of them on the first line, two of them on the second, then both lines are in the same plane. So if the lines meet they're in the same plane. (They can also be parallel and in the same plane, but let's check if they meet first.)
We have four equations in three unknowns, so these may or may not meet in general.
We need to solve for
Checking
We showed the two lines meet at