Find Unit Vector Orthogonal to A in Plane B & C

[MozAngeles]

Homework Statement

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

Homework Equations

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??

 

[rock.freak667]

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.

 

[MozAngeles]

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

 

[rock.freak667]

Yes, assuming you calculated BxC correctly.