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Math Help - Cross Product

  1. #1
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    Cross Product

    I have a concept question hopefully you guys can help me with. I was asked on a recent exam to find 3 other solutions for vector A that will make the statement true.

    j x A = 2i + 3k

    Since Vector <2, 0 , 3> is shown in the picture below, I used the right hand rule and curled towards x axis so that my thumb points inwards. From what I learned, this should mean that

    Vector A can be

    i,<2,0,0>,<3,0,0> for the statement to be true right?
    Attached Thumbnails Attached Thumbnails Cross Product-1.bmp  
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  2. #2
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    Recall that vector A must be perpendicular to 2i+3k.
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  3. #3
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    Quote Originally Posted by Plato View Post
    Recall that vector A must be perpendicular to 2i+3k.


    mMmMm...... I thought it was right to answer the question the way I did since whatever I cross in the xy plane from j, the resulting vector would point inwards which would be parallel to the vector <2,0,3>. Since it is parallel, whatever other vector I chose would just be a scalar multiple of it which does make the statement true....right?
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  4. #4
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    The cross product of two vectors is perpendicular of each of them.
    (U \times V) \bot U\,\& \,(U \times V) \bot V .
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