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Angle between planes - Family of Planes - Angle Bisector Planes Video Lecture | Mathematics (Maths) for JEE Main & Advanced

FAQs on Angle between planes - Family of Planes - Angle Bisector Planes Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. What is the angle between two planes?
Ans. The angle between two planes is the angle formed by their normal vectors. It can be calculated using the dot product formula.
2. How do you find the angle bisector plane between two given planes?
Ans. To find the angle bisector plane between two given planes, first find the normal vectors of the two planes. Then, find the unit vector that bisects the angle between the two normal vectors. Finally, the angle bisector plane is the plane containing this unit vector.
3. Can the angle between two planes be negative?
Ans. No, the angle between two planes is always a positive value as it represents the acute angle formed by their normal vectors.
4. How can you determine if two planes are parallel or perpendicular?
Ans. Two planes are parallel if their normal vectors are proportional to each other. They are perpendicular if the dot product of their normal vectors is zero.
5. Can the angle between two planes be greater than 90 degrees?
Ans. No, the angle between two planes is always between 0 and 90 degrees, as it represents the acute angle formed by their normal vectors.
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