Home
Class 12
MATHS
In the following cases, determine whethe...

In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them :
(a) 7x + 5y + 6z + 30 = 0 and 3x - y - 10 z + 4 = 0
(b) 2x + y + 3z -2 = 0 and x - 2y + 5 = 0
(c) 2x - 2y + 4z + 5 = 0 and 3x - 3y + 6z - 1 = 0
(d) 2x - y + 4z + 5 = 0 and 2x - y + 3z + 3 = 0
(e) 4 x + 8y + z = 0 and y + z - 4 = 0

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 11|10 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise REVISION EXERCISE|19 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.2)|17 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

Similar Questions

Explore conceptually related problems

In the following determine whether the given planes are parallel or perpendicular and in case they are neither, find the angles between them : (i) 7x + 5y + 6z + 30 = 0 and 3x - y - 10z + 4 = 0 (ii) 2x + y + 3z - 2 = 0 and x - 2y + 5 = 0 (iii) 2x - 2y + 4z + 5 = 0 and 3x - 3y + 6z - 1 = 0 (iv) 2x - y + 3z - 1 = 0 and 2x - y + 3z + 3 = 0 (v) 4x + 8y + z - 8 = 0 and y + z - 4 = 0.

Determine whether the following pair of planes are parallel or perpendicular and in case they are neither find the angle between them: 3x-4y+5z=0 and 2x-y-2z=5

Determine whether the following pair of planes are parallel or perpendicular and in case they are neither find the angle between them: 2x-2y+4z+5=0 and 3x-3y+6z-10

Determine whether the following pair of planes are parallel or perpendicular and in case they are neither find the angle between them: 2x-y+3z-1=0 and 2x-y+3z+3=0

Determine whether the following pasir of planes are parallel or perpendicular and in case they are neither find the angle between them: 4x+8y+z-8=0 and y+z-4=0

Determine whether the following pasir of planes are parallel or perpendicular and in case they are neither find the angle between them: 2x+y+3z-2=0 and x-2y+5=0

In the following cases,determine whether the given planes are parallel or perpendicular,and in case they are neither,find the angles between them.(a) 7x+5y+6z+30=0 and 3x-y-10z+4=0 (c) (b) 2x+y+3z-2=0 and x-2y+6z=0 (c) 2x-2y+4z+5=0 and 3x-3y+6z-1=0 (d) -y+3z-1=0 and 2x-y+3z+3=0 (e) 4x+8y+z-3=0 and y+z-4=0

Find the angle between the planes 2x - y + 3z = 6 and x + y +2z =7 .

Find the angle between the plane: 7x+5y+6z+30=0 and 3x-y-10z+4=0

Add 2x - 3y + z , 5y - x + 7z and 3x - y - 6z.