Find a unit vector

  1. 1. The problem statement, all variables and given/known data

    Find a unit vector orthogonal to A in the plane B and C if A=2i-j+k B=i+2j+k and C=i+j-2k

    2. Relevant equations

    3. The attempt at a solution
    Im thinking the solution is to take the cross product of B and C. and that would be the solution??
  2. jcsd
  3. rock.freak667

    rock.freak667 6,231
    Homework Helper

    BxC would give satisfy the conditions yes, but you will need to get the unit vector of BxC.
  4. So my answer would be 1/[tex]\sqrt{35}[/tex](5i+3k-j)?
  5. rock.freak667

    rock.freak667 6,231
    Homework Helper

    Yes, assuming you calculated BxC correctly.
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