Question

Two planes are either parallel or they intersect each other at a point. Is this statement true? Give reasons.​

Answer 1

In R3R3 two distinct planes either intersect in a line or are parallel, in which case they have empty intersection; they cannot intersect in a single point. In RnRn for n>3n>3, however, two planes can intersect in a point. In R4R4, for instance, let

Answer 2

Answer:

In R3R3 two distinct planes either intersect in a line or are parallel, in which case they have empty intersection, they can't intersect in a simple point.

In RnRn for n>3n>3,

however,

two planes can intersect in a point. In R3R3, for instance.

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