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Math Help - please help me with these two questions.

  1. #1
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    please help me with these two questions.

    question 1)
    Show that (4,5,2) , (1,7,3) and (2,4,5) are vertices of an equilateral triangle.

    Question 2)
    Find the distance from the point (-5, 2, -3) to the
    a)xy-plane
    b)yz-plane
    b)z-axis
    d)y-axis

    Thank you very much.
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  2. #2
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by Jenny20 View Post
    question 1)
    Show that (4,5,2) , (1,7,3) and (2,4,5) are vertices of an equilateral triangle.
    The distance between two points in three dimensions is: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}

    So find the value of each side of the triangle.
    Question 2)
    Find the distance from the point (-5, 2, -3) to the
    a)xy-plane
    3
    b)yz-plane
    5
    b)z-axis
    Notice that the z-axis passes through the origin of the xy-plane, so find the distance from zero to the point (-5,2)
    d)y-axis

    Thank you very much.
    Again, the y-axis passes through the origin of the xz-plane so find the distance from zero to point (-5,-3)
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