Okay I'm freaking out. I'm reviewing for my final tomorrow, and I realized I don't get the plane portion of the final. I can't find my notes on it.
So for intersection of a plane. I'm gonna make up a problem and show how far I can get into it.
Intersection between 2x + 3y - 4z = 12 and 5x + 2y + 3z = 7.
So you take the cross product of [2, 3, 4] and [5, 2, 3], right? How do you find this cross product? is it [10, 6, 12] or something else?
Then after you find that...say it is [1,2,3] even though it isn't.
So set x to 0 for the two planes. Then solve for y and z. Say it turns out to be [0, 6, 7].
then it is [0 6, 7] + t(1,2,3). is that right?
Okay urgent how do you find a cross product?? I have no idea how.
Sorry, was trying to figure out the problem on my paper, and I was trying it both ways. I must have mixed them up.
Can anyone help me with this? I can't find my notes on how to cross product, and I tried googling it but I did not learn anything even close to what it is pulling up?
I have an entire different approach.
I'll use my own example . . .
Intersection between: .
We know that the intersection of two planes is a line.
We try to solve the system of equations: .
Eliminate one of the variables.
And we have: .
Substitute into : .
We have these equations: .
On the right side, replace with a parameter
There are the parametric equations of the line of intersection.