In rectangular coordinates, given points (-1, 2, 1), (3, -3, 0), and (-2, -3, -4), find:
(a) the vector n⃗, its magnitude, and the direction of the unit vector.
(b) the scalar product, its magnitude, and the unit vector.
(c) the cross product, its magnitude, and the direction of the resultant vector.
(d) the dot product, its magnitude, and the angle between the vectors.