Let V be a vector space and let W be a nonempty subset of V. Then W is a subspace of V if and only if the following conditions hold. If u and v are in W, then u + v is in W. If u is in W and c is a scalar, then cu is in W. Use the theorem above to determine whether W is a subspace of V. V = ℝ3, W = a 0 a Does condition (a) of the theorem hold?

The length of a rectangular board is 3 feet less than twice its width. a second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimensions of the first rectangular board. if the perimeter of the second board is one-fifth the perimeter of the first, what is the perimeter of the first rectangular board?