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CalcDude
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i was wondering, how would you prove if two planes are perpendicular, analytically? don't you have to use vectors or something?
A perpendicular plane is a two-dimensional flat surface that intersects with another plane at a right angle (90 degrees).
To prove that two planes are perpendicular, you need to show that their normal vectors are perpendicular to each other. This means that the dot product of the two normal vectors should be equal to zero.
The formula for finding the normal vector of a plane is (A, B, C), where the coefficients A, B, and C are the coefficients of the plane's equation in the form of Ax + By + Cz + D = 0.
Yes, three planes can be perpendicular to each other. This means that each plane's normal vector should be perpendicular to the other two plane's normal vectors.
Yes, it is possible for two planes to be perpendicular but not intersect. This can happen when the two planes are parallel to each other and have a distance between them.