Mathematics Part-II

Book: Mathematics Part-II

Chapter: 11. Three Dimensional Geometry

Subject: Maths - Class 12th

Q. No. 13 of Exercise 11.3

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In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them.

7x + 5y + 6z + 30 = 0 and 3x – y – 10z + 4 = 0

The eq. of the given planes are

7x + 5y + 6z + 30 = 0 and 3x – y – 10z + 4 = 0


Two planes are if the direction ratio of the normal to the plane is


a1a2 + b1b2 + c1c2 = 0


21 – 5 – 60


-44 ≠ 0


Both the planes are not to each other.


Two planes are || to each other if the direction ratio of the normal to the plane is




Both the planes are not || to each other.


The angle between them is given by







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