Math

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Use the cross product to find a vector perpendicular to each of the following pairs of vectors.

(2, -1, 3) and (1, 4, -2)

Can someone please explain this step by step?

  • Math -

    The cross product is the vector that one can calculate with this determinant:
    | i j k |
    | 2-1 3 |
    | 1 4-2 |
    = (2-12) i + (3+4)j + (8+1) k
    = -10i +7j +9k
    or (-10, 7, 9) in your notation.
    That vector, or any vector that is a scalar multiple of it, will be perpendicular to the other two vectors.

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