00:01
Line of intersection of these two planes.
00:04
So the direction vector of the line of intersection, which we'll call l, is just the cross product of the normal vectors to these two planes.
00:20
So the normal vector to the first plane is 2 -1 -3, and for the second plane is 1 -0.
00:29
So the cross product is ijk, 2, 1, minus 3, 1 ,0.
00:42
So it's i times 0 minus negative 3, so 3 minus j times 0 minus negative 3, plus k times 2 minus 1, so 3 minus 8 1.
01:03
Okay, now we're going to find a point on the lines of interstate.
01:06
Section.
01:07
So i'm just going to do 2x plus y minus 3 z equals 0.
01:13
And i'm going to multiply the second one by minus 1...