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Earn +20 ptsQ: How many planes could pass through three points in the same straight line?
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Is it true without exception that if P Q R are points contained by plane X and also by plane Y then X is the same plane as Y?
No. If the points are all in a straight line, then they could lie along the line of intersection of both planes. Mark three points on a piece of paper, in a straight line, and then fold the paper along that line so that the paper makes two intersecting planes. The three points on on each plane, but the plants are not the same.
How many planes could pass through a point?
Infinitely many.
What type of lines pass through points 0 0 5 3 and 5 2 0 5 on a grid?
It could be a straight line in 4-dimensional space.
How would you define a straight line?
Without wishing to overcomplicate matters, one could simply define a straight line as: "the shortest distance between two given points".
Do two planes intersects?
two planes intersect in one line, or the planes could be parallel. by the way there is no such thing as skew planes...
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