Find a unit vector

1. Jun 6, 2011

MozAngeles

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. Jun 6, 2011

rock.freak667

BxC would give satisfy the conditions yes, but you will need to get the unit vector of BxC.

3. Jun 6, 2011

MozAngeles

So my answer would be 1/$$\sqrt{35}$$(5i+3k-j)?

4. Jun 6, 2011

rock.freak667

Yes, assuming you calculated BxC correctly.