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The value of m for which the planes 2x+3...

The value of m for which the planes 2x+3y-z=5 and 3x-my+3z=6 are perpendicular to each other is

A

`-1`

B

`1/2`

C

`1

D

`1/2`

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Knowledge Check

  • The equation of the plane through the line of intersection of the planes 2x+y-z+5=0 and x+2y+3z=4 and perpendicular to the plane 5x+3y+6z=10 is -

    A
    `51x+15y-50z=173`
    B
    `5x-15y+50z+117=0`
    C
    `51x+15y-50z+173=0`
    D
    `63x-43y-50z+117=0`

  • The value k for which the line (x-1)/(8)=(y+2)/(k)=(z-3)/(-6) is perpendicular to the plane 4x+2y-3z=5 is -

    A
    6
    B
    -6
    C
    4
    D
    -4

  • The angle between the planes x-2y+2z=5 and 2x-3y+6z=11 is -

    A
    `"cos"^(-1)(5)/(21)`
    B
    `"cos"^(-1)(20)/(21)`
    C
    `"cos"^(-1)(4)/(21)`
    D
    `"cos"^(-1)(4)/(7)`

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    Find the angle between the lines 2x=3y=-z and 6x=-y=-4z

    Find the angle between the planes 2x+y-2z+3=0a n d 6x−2y+3z=5

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