Results 1 to 4 of 4

Math Help - Determine whether the planes are perpendicular

  1. #1
    Junior Member
    Joined
    Feb 2010
    Posts
    48

    Determine whether the planes are perpendicular

    I know how to tell when the planes are parallel, but not perpendicular, if anyone could help out.

    Determine whether the planes are perpendicular:

    3x - y + z - 4 = 0;
    x + 2z = -1



    Another one,

    Determine whether the line and plane are perpendicular:

    x = -2 -4t
    y = 3 - 2t
    z = 1 + 2t
    2x + y - z = 5


    Any help is greatly appreciated!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by DarK View Post
    I know how to tell when the planes are parallel, but not perpendicular, if anyone could help out.

    Determine whether the planes are perpendicular:

    3x - y + z - 4 = 0;
    x + 2z = -1



    Another one,

    Determine whether the line and plane are perpendicular:

    x = -2 -4t
    y = 3 - 2t
    z = 1 + 2t
    2x + y - z = 5


    Any help is greatly appreciated!
    Two planes are perpendicular if the scalar product of their normals is equal to zero.

    A line and a plane are perpendicular if the scalar product of the normal to the plane and a vector in the direction of the line is equal to zero.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Feb 2010
    Posts
    48
    Quote Originally Posted by mr fantastic View Post
    Two planes are perpendicular if the scalar product of their normals is equal to zero.

    A line and a plane are perpendicular if the scalar product of the normal to the plane and a vector in the direction of the line is equal to zero.
    When you say "scalar product" is that the same thing as "dot product"?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by DarK View Post
    When you say "scalar product" is that the same thing as "dot product"?
    Yes.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. if the planes are perpendicular, what is k?
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: March 28th 2011, 09:54 PM
  2. Replies: 1
    Last Post: May 4th 2010, 12:43 PM
  3. Determine if vector perpendicular
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: December 29th 2009, 03:59 PM
  4. Replies: 3
    Last Post: November 7th 2009, 05:25 PM
  5. How to find out of planes are perpendicular
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: April 22nd 2009, 12:34 PM

Search Tags


/mathhelpforum @mathhelpforum