Using the parallelogram in problem as a base create a

Question

Question: Using the parallelogram in Problem as a base, create a parallelopiped with side (P₁P₅)‾ where P₅ = (1, 0, 4). Find the volume of this parallelepiped.

Problem: The points P₁ = (0, 0, 0), P₂ = (2, 4, 2), P₃ = (3, 0, 0), and P₄ = (5, 4, 2) are vertices of a parallelogram.

(a) Find the displacement vectors along each of the four sides. Check that these are equal in pairs.

(b) Find the area of the parallelogram.