Two vectors `vec(A) = hat(i) + 2 hat(j) + 2 hat(k) and vec(B) = hat(i) + 3 hat(j) + 6 hat(k)` find .
their dot products,

Explanation

`vec(A) = hat(i) + 2 hat(j) + 2 hat(k)`
`vec(B) = hat(i) + 3 hat(j) + 6 hat(k) `
Dot product :
`sqrt((1)^(2) + (2)^(2) +(2)^(2)) = 3`
` B = sqrt((1)^(2) + (3)^(2) + (6)^(2)) = sqrt(46)`
`vec(A) . vec(B) = (hat(i) + 2 hat(j) + 2 hat(k)) * (hat(i) + 3 hat(j) + 6 hat(k))`
`= 1 xx 1 + 2 xx 3 + 2xx 6 = 19`