Find the unit vector in the direction of sum of vectors `veca=hat2i-hatj+hatk` and `vecb=2hatj+hatk.`

Explanation

Let `vecc` denote the sum of `vecaandvecb`.
We have, `veccandveca+vecb`
`=2hati-hatj+2hatj+hatk=2hati+hatj+2hatk`
:.Unit vector in the direction of `vecc=(vecc)/(|veca|)=(2hati+hatj+2hatk)/(sqrt2^(2)+1^(2)+2^(2))=(2hati+hatj+2hatk)/(sqrt9)`
`hatc=(2hati+hatj+2hatk)/(3)`