For what values of k will the following set of planes intersect in a line
Would like a step by step process. Please and Thank You.
Now three planes can intersect in: a point (unique solution), a line, a plane (all three lie on top of eachother), pair of lines (two parrell planes), or no intersection (all three are parallel).
It should be clear that they must intersect (at (0,0,0)). It also seams that it cannot possibly be any of the other possibilities. So it is safe just to make the determinant zero: