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Math Help - sketching planes?

  1. #1
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    sketching planes?

    Sketch the plane given by 2x+y+3z=6

    How is this done?

    Note: I have the answer for this and can see it is a traingle shaped guy in a 3d...
    I have no clue how to do these without a calculator or answer key in front of me.
    Please advise.
    Thanks!
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  2. #2
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    Quote Originally Posted by orendacl View Post
    Sketch the plane given by 2x+y+3z=6

    How is this done?

    Note: I have the answer for this and can see it is a traingle shaped guy in a 3d...
    I have no clue how to do these without a calculator or answer key in front of me.
    Please advise.
    Thanks!
    This is one possible method:

    1. Calculate the coordinates of the points of intersection between the plane and the coordinate axes. For instance: The x-axis crosses the plane if y = 0 and z = 0, thus P_x(3,0,0), etc.

    2. Draw the 3 axes and the intersection points. You'll get a triangle which defines the plane in 3D. The sides of the triangle are the intersections between the given plane and the coordinate planes.

    (Remark: I used isometric paper whose axes include an angle of 120)
    Attached Thumbnails Attached Thumbnails sketching planes?-spurdreieck.png  
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