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Math Help - 2 by 2 determinant

  1. #1
    Junior Member
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    2 by 2 determinant

    if i have to find the cross product of a vector, lets say
    u=5i -2j
    v=3i-4j

    is it just -20i +6j? i know how to do a 3 by 2 but without a z term i don't know how to solve it. could i just add in two 0's for z and then solve the 3 by 2?
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  2. #2
    MHF Contributor Calculus26's Avatar
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    could i just add in two 0's for z and then solve the 3 by 2?

    The cross product is only defined for 3-D vectors and hence 3x3 matrices. So you do just as you suggested treat each vector as having 0 z components.
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