Find the projection of the vector `hat i + 3 hat j + 7 hat k` on the vector `7 hat i - hat j + 8 hat k`.

Explanation

Let `veca=hati+3hatj+7hatj+7hatkand vecb=7hatj-hatj+8hatk`
Now, projection of vector `veca on vecb` is given by
`1/(|vecb|)(veca.vecb)=1/(sqrt(7^(2)+(-1)^(2)+8^(2))){(7)+3(-1)+7(8)}`
`(7-3=56)/(sqrt(49+1+64))=60/(sqrt114)`