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Homework Help: Find two vectors?

  1. Oct 23, 2013 #1
    1. The problem statement, all variables and given/known data
    Find two vectors v and w that are perpendicular to (1, 0, 1) and to each other.

    2. Relevant equations
    I know that to be perpendicular, the dot product must be 0. So (1, 0, 1)*(x, y, z)=x+z=0 and x=z=0, y=1, therefore, v=[0, 1, 0]. w=[-1, 0, 1].

    3. The attempt at a solution
    Are my answers right for v and w? Can someone right the answer for me? I just want to see how the answer looks like.
  2. jcsd
  3. Oct 23, 2013 #2


    User Avatar
    Homework Helper

    Looks good.
  4. Oct 23, 2013 #3


    Staff: Mentor

    It's easy enough to check your answers to see if they're correct.

    Is v ##\cdot## <1, 0, 1> = 0?
    Is w ##\cdot## <1, 0, 1> = 0?
    Is v ##\cdot## w = 0?
  5. Oct 23, 2013 #4
    Thank you guys.
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