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No, they can intersect in line. Consider the floor of a cuboid room and one wall. They meet in a line along the floor. Consider the plane that goes from that line to the line joining the opposite wall to the ceiling - a plane which goes diagonally across the room. The floor, first wall and the diagonal plane will be three points meeting in a line.
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How many points are you a intersection of a line and a plane?
There are two possible answers; if the line is crossing the plane at an angle, then the line and the plane only intersect at one point. However, if the line is part of the plane, then the entire line intersects with the plane, and there are an infinite number of intersecting points.
What is a line that intersects a circle at only one point?
A tangent line.
What is a lone that intersects a circle at only one point?
It is a tangent line
What is aline that intersects with a circle at only one point of its edge?
It is a tangent line
How many planes can contain three point at the same time?
Only one plane can contain three specific points.
