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Given two vectors, find vector of the parallelogram height

  1. Apr 5, 2015 #1
    1. The problem statement, all variables and given/known data
    Find the coordinates of the vector of the height of the parallelogram formed by vectors a={1, 2, 1} and b={2, -1, 0}

    2. Relevant equations
    A=|axb|, A=|a|*h

    3. The attempt at a solution
    I can find the intensity of the vector h i.e the length of the height, but not its vector. I know the dot product of a and h is zero, but that's it. I'm stuck.
  2. jcsd
  3. Apr 5, 2015 #2


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    2017 Award

    Staff: Mentor

    axb is orthogonal to both a and h, you can use this vector to find h.
  4. Apr 7, 2015 #3


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    Homework Helper

    ##\vec p## is the projection of ##\vec a## onto the direction of ##\vec b## , and ##\vec h = \vec a - \vec p ##

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