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What is the fewest number of intersection points that two planes can have?

2 Answers

6 votes

Answer: 4 points

Explanation:

The minimum number of points needed to define two distinct planes is 4 points. Two distinct planes can be defined by 4 points under the conditions that the two distinct planes intersect at a line, and two points exist on that line that are shared between the planes.

User Enumag
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3.4k points
4 votes

Answer:

One line of intersection (three points of intersection)

Explanation:

When two planes intersect, they don't form points of intersection, but they form a line of intersection.

From equation of a line,


{ \tt{ax + by + cz = 0}}

x, y, z are points of intersection

What is the fewest number of intersection points that two planes can have?-example-1
User Kirstie
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3.3k points