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Math Help - Please help

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    UK
    Posts
    4

    Unhappy Please help

    Hello guys

    I hope you have a great time.


    Please could you show me how to solve the following questions, by steps if possible:


    Q1- Find the components of all vectors v which have length 2 and are perpendicular to both the lines
    x = 4 + 3t, y = 2 − t, z = 1 + 5t and x − y + z = 2, 3x + 2y − 4z = 6.

    Q2- Find the equation of the plane, simplified as much as possible, that contains the point where the
    line x = −1 + 2t, y = −4 + 2t, z = 1 − 4t intersects the xz-plane, and is perpendicular to the line

    (x+1)/3=(3y+1)/6=(1-2z)/4


    Q3- Prove that if A, B, and C are three points in space, then the area of triangle ABC can be
    calculated with the formula

    Area of triangle ABC = 1/2|AB AC|.




    I would really appreciate your help

    Mike
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  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
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    601

    Re: Please help

    Hey mikejohn.

    Look at my response in your other thread.
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