v is a set of ordered pairs (a, b) of real numbers. Sum and scalar multiplication are defined by: \((a, b) + (c, d) = (a + c, b + d) k (a, b) = (kb, ka)\) (attention in this part) show that V is not linear space.
Vectors \(V_1\) and \(V_2\) are different vectors with lengths V1 and V2 respectively. Find the following:
a) \(V_1\cdot V_1\) Express you answer in terms of \(V_1\)
b) \(V_1\cdot V_2\), when they are perpendicular
c) \(V_1\cdot V_2\), when they are parallel