Given `vec(a) = 3 hat(i) + 2 hat(j) - hat(k) and vec(b) = hat(i) + hat(j) + 3 hat(k)` Determine
`vec(a) - vec(b)`

Explanation

Given : `vec(a)= 3 hat(i) + 2 hat(j) + hat(k)`
`vec(b) = hat(i) + hat(j) + 3 hat(k)`
`vec(a) + vec(b) = (3 hat(i) + 2 hat(j) - hat(k))+(hat(i) + hat(j) + 3 hat(k))`
`= 3 hat(i) + 2 hat(j) - hat(k) - hat(i) - hat(j) - 3 hat(k)`
`= 2 hat(i) + hat(j) - 4 hat(k)`