yes
point, line and plane
A ray
The intersection of a line and a plane can result in either a single point, if the line passes through the plane, or no intersection at all if the line is parallel to the plane and does not touch it. In some cases, if the line lies entirely within the plane, every point on the line will be an intersection point. Thus, the nature of the intersection depends on the relative positions of the line and the plane.
When the line is inclined to the plane. That is, it is not in the plane nor is it parallel to it.
Point ; Line ; Plane - Remember the Point-Line-Plane Postulate
Yes, three points determine a plane unless they are in a straight line. A plane is two dimensions a line is only one. You need a third point(not in the line) to define a plane.
Plane. A point has no dimension, a line has one dimension, and a plane has two dimensions.
point, line and plane
point * * * * * or, nothing (if the line is parallel to the plane).
plane
A ray
Presumably, the "three dimensional triangular plane" is actually a two dimensional plane which is "tilted" with respect to the axes. The point of intersection is simply the coordinates of the solution to the simultaneous equations for the line and the plane.
A plane intersects a line at a point, and i plane intersects another plane at a line.
The intersection of a line and a plane can result in either a single point, if the line passes through the plane, or no intersection at all if the line is parallel to the plane and does not touch it. In some cases, if the line lies entirely within the plane, every point on the line will be an intersection point. Thus, the nature of the intersection depends on the relative positions of the line and the plane.
plane
A plane.
When the line is inclined to the plane. That is, it is not in the plane nor is it parallel to it.