An intersection is where two lines cross each other: X is an example.
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In analytical geometry, you equate the equations of the two planes and simplify.
If they do intersect, it will be at their point of intersection.
In Euclidian geometry it's a point. In non-Euclidean geometry all bets are off.
Not possible, the point would be part of the line. * * * * * So, the intersection is that point. Think in terms of sets rather than geometry.
They are angles formed when two straight lines intersect: they are on opposite sides of the point of intersection.