Let U be a plane given by the point x and the normal vector n.

Suppose that p(t) = y + Vt be the parametric equation of the line l. Find condition on U and l such that:

a) U || l

b) l perpendicular U

c) l intersects U at a single point, find the point.

Should I start by finding a line in U? And how do I do it?

I'm sorry, I'm really lost on this one here, because the professor can't speak any English.