## Find a unit vector...

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??

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

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

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## Find a unit vector...

Yes, assuming you calculated BxC correctly.