59 1) Let V be the set of all vectors defined by ordered pairs of real numbers (2,y), with the operations: (x, y) + (z', y) = (+' - 1,4 + y +1) k(x,y) = {kx, ky). 1.1) Find the zero vector of V. 1.2) Does the vector = (x, y) have a negative? Motivate your answer. 1.3) Is V a vector space? Motivate your answer. 59 1) Let V be the set of all vectors defined by ordered pairs of real numbers (2,y), with the operations: (x, y) + (z', y) = (+' - 1,4 + y +1) k(x,y) = {kx, ky). 1.1) Find the zero vector of V. 1.2) Does the vector = (x, y) have a negative? Motivate your answer. 1.3) Is V a vector space? Motivate your