1) Let V be the set of all vectors defined by ordered pairs of real numbers (x,y), with the operations: (x,y)+(x ′
,y ′
)
k(x,y)
​
=(x+x ′
+2,y+y ′
−1)
=(kx+2k−2,ky−k+1).
​
[7] Answer the following questions: 1.1) Find the zero vector of V. 1.2) Does the vector u
ˉ
=(x,y) have a negative? Motivate your answer. 1.3) Is V a vector space? Motivate your answer.