# Find a unit vector

1. ### MozAngeles

91
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. ### rock.freak667

6,231
BxC would give satisfy the conditions yes, but you will need to get the unit vector of BxC.

3. ### MozAngeles

91
So my answer would be 1/$$\sqrt{35}$$(5i+3k-j)?

4. ### rock.freak667

6,231
Yes, assuming you calculated BxC correctly.