Equations of Planes

[Cyto]

I need some help on this question...

\rightharpoonup{r} = (0,0,5) + s(4,1,0) + t(2,0,2) which intersects the xz-coordinate plane in what line?

[himanshu121]

First write the equation for XZ plane let it be u and the given plane be v

Then the point of intersection will be

u+kv = 0 where k is any constant which is to be found.

The above equations are in cartesian coordinate