Question

I am trying to find the intersection between two planes in MATLAB.

x = -10:10;
y = x;

[X Y] = meshgrid(x,y);
Z1 = 3+X+Y;
Z2 = 4-2.*X-4.*Y;

mesh(X,Y,Z1)
hold on
mesh(X,Y,Z2)

I know I can find the locations of the elements of Z1 and Z2 where they are equal by setting a new array equal to (Z1==Z2), but that only gives me an arrays of 0s and 1s. How do I find the array containing the actual values of the line segment?

Answer 1

The following equation results from setting Z1=Z2:

3+X+Y=4-2X-4Y

solve it and you will get the equation of the intersection line.