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Math Help - The Vector Product Problem

  1. #1
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    The Vector Product Problem

    Im stuck on the following question

    Find the value of for which (1, A , 3) and ( A, 2, 1) are orthogonal. Using that
    value of A, find a third vector orthogonal to both of them.

    iv done the cross product on them and got the following result (A+6)i - (1-3A)j + (-2- A^2)k but cant see anyway to actually determine A.

    Thanks for any help
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  2. #2
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    Quote Originally Posted by jordanrs View Post
    Im stuck on the following question

    Find the value of for which (1, A , 3) and ( A, 2, 1) are orthogonal. Using that
    value of A, find a third vector orthogonal to both of them.

    iv done the cross product on them and got the following result (A+6)i - (1-3A)j + (-2- A^2)k but cant see anyway to actually determine A.

    Thanks for any help
    You don't use the cross product. You use the dot product.

    If two vectors are perpendicular (orthogonal) then their dot product is 0.
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