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Find the angle between the plane:7x+5y+6...

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

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Find the angle between the plane: 2x+y-2z=5 and 3x-6y-2z=7

Find the angle between the planes x+y+z+1=0 and x-y+z-1=0 .

Knowledge Check

  • The angle between the planes 3x-4y+5z=0 and 2x-y-cz=5 is

    A
    `(pi)/(3)`
    B
    `(pi)/(2)`
    C
    `(pi)/(6)`
    D
    `(pi)/(4)`
  • Similar Questions

    Explore conceptually related problems

    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 plane: 2x-y+z=6 and x+y+2z=7

    Find the angle between the planes 2x + y - 2z = 5 and 3x - 6y - 2z = 7 . Using vector method.

    Find the angle between the plane: 3x-6y+2z=7 and 2x+2y-2z=5

    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.

    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

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