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Thread: Consider the following three points in R^3

  1. #1

    Consider the following three points in R^3

    Consider the following three points in R^3:
    P(−2, 5, 1), Q(0, 3, 1), R(3, 3, 5)
    and let a =P Q(vector),
    b =P R (vector),
    c =QR (vector)

    (a) Calculate the following if possible, or explain why it is not possible to do so:
    (i) a × b (ii) c × (a · b) (vi) (b × a) · c (vi) (a · b) · c
    (b) Use the cross product to find the area of the triangle with vertices P, Q and R.
    Last edited by stapel; 08-24-2014 at 12:38 PM. Reason: Re-inserting deleted original post.

  2. #2
    Elite Member
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    Quote Originally Posted by singing View Post
    Consider the following three points in R^3
    :
    P(−2, 5, 1), Q(0, 3, 1), R(3, 3, 5)
    and let a =P Q(vector),
    b =P R (vector),
    c =QR (vector)


    (a) Calculate the following if possible, or explain why it is not possible to do so:
    (i) a × b (ii) c × (a · b) (vi) (b × a) · c (vi) (a · b) · c
    (b) Use the cross product to find the area of the triangle with vertices P, Q and R.
    PR (vector) = [(Rx - Px), (Ry - Py), (Rz - Pz)] ..... now continue....

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