In the special case where a ray staring in the plane is tangent to the plane, the number of intersections should be zero.

If a ray started in the plane and is also tangent to the plane, wouldn't the number of intersections be infinite? Only the t value would be 0 as the origin of the ray would already intersect with the plane.

In lecture it was mentioned that in this special case, "the answer should be 0", I thought this was referring to the t value as opposed to the number of intersections.