Find the unit vector in the direction of the difference of vector `(veca-vecb),veca=4hati+5hatj+6hatk` and `vecb=2hati+3hatj+4hatk`.

Explanation

The difference of given vector `vec c=veca-vecb=2hati+2hatj+2hatk` and `|vec c|=sqrt(2^(2)+2^(2)+2^(2))=sqrt(12)`
`hat c=(1)/(|vec c|)vec c=(1)/(sqrt(12))(2hati+hatj+2hatj)`
`=(2)/(sqrt(12))hati+(2)/(sqrt(12))hatj+(2)/(sqrt(12))hatk`
`hatc=(1)/(sqrt(3))hati+(1)/(sqrt(3))hatj+(1)/(sqrt(3))hatk`