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Vectors

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Determine a unit vector that is orthogonal to both u=[3,-4, 1] and v=[2,3,-4].

  • Vectors -

    do cross product (perpendicular to both)
    i j k
    3 -4 1
    2 3 -4

    (16-3)i + (2+12)j + (9+8)k

    13 i + 14 j + 17 k
    divide every coefficient by
    sqrt (169 + 196 + 289)
    to make it a unit vector

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