00:01
For this exercise, we're looking at the points p with coordinates 611, q with coordinates 3, 2 ,0, and r, which is the origin.
00:13
And i want to find the equation for a plane that passes through all these points.
00:18
First, let's find two vectors that lie on this plane.
00:23
We can use rp and rq.
00:28
So this is 611 because r is the origin, so we just take the coordinates of p.
00:37
And rq similarly will be 3 to 0.
00:42
And now we can use these to calculate their cross product, which will be a vector that's normal to our plane.
00:50
So rp cross rq is equal to the determinant, the three standard vectors on top...