Answer
(a) $55$
(b) No. 55.
Work Step by Step
(a) Given the three vectors, first calculate the cross product of the two vectors: $\vec v\times\vec w
=\langle (4\times3-0\times3), (0\times3+1\times3), (-1\times(-1)-4\times3) \rangle
=\langle 12, 3, -11 \rangle$. Next we calculate the scalar triple product as $\vec u\cdot(\vec v\times\vec w)
=2\times12+3\times3-2\times(-11)=55$
(b) As the scalar triple product is not zero, we conclude that these vectors are not coplanar, and the volume of the parallelepiped is 55.
