Find the unit vector perpendicular to the plane ` vec rdot(2 hat i+ hat j+2 hat k)=5.`

Explanation

Vector normal to the plane is `vecn=2hati+hatj+2hatk`
Hence, unit vector perpendicular to the plane is `(vecn)/(|vecn|)=(2hati+ahtj+2hatk)/(sqrt(2^(2)+1^(2)+2^(2)))=(1)/(3)(2hati+hatj+2hatk)`