Answer : (i) Given: A = {-2, 2} and B = {0, 3, 5} To find: A × B
By the definition of the Cartesian product,
Given two non – empty sets P and Q. The Cartesian product P × Q is the set of all ordered pairs of elements from P and Q, .i.e.
P × Q = {(p, q) : p Є P, q Є Q}
Here, A = {-2, 2} and B = {0, 3, 5}. So,
A × B = {(-2, 0), (-2, 3), (-2, 5), (2, 0), (2, 3), (2, 5)}
(ii) Given: A = {-2, 2} and B = {0, 3, 5} To find: B × A
By the definition of the Cartesian product,
Given two non – empty sets P and Q. The Cartesian product P × Q is the set of all ordered pairs of elements from P and Q, .i.e.
P × Q = {(p, q) : p Є P, q Є Q}
Here, A = {-2, 2} and B = {0, 3, 5}. So,
B × A = {(0, -2), (0, 2), (3, -2), (3, 2), (5, -2), (5, 2)}