The question I was given on my Linear Algebra home assignment is as follows
Witch of the following formulas define scalar products on R^2? Explain your answer.
(a) ((x_1,y_1),(x_2,y_2)) = x_1y_2 + x_2y_1
(b) ((x_1,y_1),(x_2,y_2)) = x_1x_2 + 7y_1y_2
(c) ((x_1,y_1),(x_2,y_2)) = x_1x_2 +...