Hello, superdude!

Let me show you the way I explain it . . .To find the line of intersection of 2 planes, subtract one from the other,

so that one of the variables cancels out.

Then introduce a parameter and then solve for x y and z.

.Example: .

. . Hence: .

Substitute into [1]: .

. . Hence: .

So we have: .

On the right, replace with a parameter

. . and we have: .

Yes, but you may find this vector approach is faster.The reason I'm doubtful is because when I google searched

"line of intersection of two planes" I found a more difficult approach

where the cross product is used to find v. I guess this way is used

to find the vector equation of the line?

The normal vectors of your two planes are: .

The cross-product gives the direction of the line of itersection.

. .

Now findanypoint that lies on both planes . . . For example: .

And we have our parametric equations: .