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6 May, 04:29

Find two unit vectors orthogonal to a=⟨2,-2,-3⟩a=⟨2,-2,-3⟩ and b=⟨3,2,2⟩b=⟨3,2,2⟩ enter your answer so that the first non-zero coordinate of the first vector is positive.

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  1. 6 May, 05:26
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    We need the cross product of the two vectors.

    a x b

    = x

    =

    i j k

    2 - 2 - 3

    3 2 2

    =

    =

    The second vector is obtained by reversing the direction, namely

    Thus the two vectors are and.
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