Find the scalar triple product of `vec(a) , vec (b) and vec(c ).`
`vec(a) = 5 hat(i) - hat(j) + 4 hat(k) , vec (b) = 2 hat(i) + 3hat(j) + 5hat(k) and vec(c ) = 5 hat(i) - 2 hat(j) + 6 hat(k)`

Answer

Given vectors are `vec(a) = 5 hat(i) - hat(j) + 4 hat(k) , vec(b) = 2 hat(i) + 3 hat(j) + 5 hat(k) and vec(c ) = 5 hat(i) - 2hat(j) + 6hat(k)` .