Let a=(a1, a2, a3) and b=(b1, b2, b3) be two nonzero vectors such that b ka. Use vector...

Let a=(a₁, a₂, a₃) and b=(b₁, b₂, b₃) be two nonzero vectors such that b ka. Use vectors to describe the set of points inside the parallelogram with vertex P₀(x₀, y₀, z₀) and whose adjacent sides are parallel to a and b and have the same lengths as a and b. (See Figure 1.17.) (Hint: If P(x, y, z) is a point in the parallelogram, describe the position vector of P.)