Question

Consider the following sets:
(i) The set of vectors {(a, b) ∈ R^2} with scalar multiplication defined by k(a, b) = (ka, 0)
(ii) The set of real numbers, with addition defined by x + y = x – y.
Which of the following is not a vector space?
(a) Both (i) and (ii)
(b) only (i)
(c) only (ii)
(d) Neither (i) nor(ii)

Answer 1

Answer:

a Both is the answer or d Neither