Vector operations

  1. 1. The problem statement, all variables and given/known data
    Let x and y be to vectors
    Verify whether |xy|<=|x|+|y| for all x,y

    3. The attempt at a solution
    My first problem with this question is that it does not tell us whether the operation xy is the same as x.y (dot product) or a cross product.
  2. jcsd
  3. HallsofIvy

    HallsofIvy 41,061
    Staff Emeritus
    Science Advisor

    Your are right. That is a problem. I am also surprised that is not [itex]|x|^2+ |y|^2[/itex] on the right. I suspect that they mean dot product. I suggest you look at [itex]|(x-y)\cdot(x-y)|[/itex].
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