The formula for finding the angle between two planes in radians is θ = cos-1 (|n1 · n2|), where n1 and n2 are the normal vectors of the planes.
The normal vector of a plane can be found by taking the cross product of two vectors that lie in the plane. These vectors can be found by selecting any two points on the plane and forming a vector between them. The cross product of these two vectors will give the normal vector of the plane.
No, the angle between two planes is always a positive value. This is because the cosine function used in the formula only returns values between 0 and π, and the absolute value of the dot product ensures a positive result.
The angle between two planes is a measure of the inclination or tilt of one plane with respect to the other. If the angle is 0 radians, the planes are parallel, and if the angle is π radians, the planes are perpendicular.
No, the angle between two planes cannot be greater than π radians since the range of the inverse cosine function is limited to 0 to π. If the angle between the planes is greater than π radians, it means the planes are pointing away from each other in opposite directions.