Concept explainers
The following statement is always, sometimes or never true is to be explain:
Two planes intersect in a single point.
Answer to Problem 24HP
The given statement is never true.
The two planes intersects along a line.
Explanation of Solution
The statement is ‘two planes intersect in a single point’.
Two distinct planes which are either parallel or intersects each other along line never has a single point as an intersection point.
Because only lines intersects a a point, and planes are not lines.
So, the two planes intersects along a line or two points; not a single point.
Hence, the given statement is never true.
Conclusion:
Hence, the two planes intersects along a line.
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