Find the parametric equations of the line of intersection of the planes x - z = 1 and x + 2y + 3z = 1.
I'm assuming it's something to do with cross product? Here's what I've set up:
x y z
1 0 -1 1
1 2 3 1
2026-03-27 20:31:23.1774643483
Find the parametric equations of the line of intersection...
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The line of interesection of the planes will satisfy the equation of both the planes. Hence we must have,the equation of the line as $$L=P_1+\lambda P_2$$ $$\Rightarrow L=(x - z-1)+\lambda (x + 2y + 3z-1)$$