A family wishes to determine the distance from their home to the nearest park. On a coordinate grid, the house sits at (0, 0) and the park (16, 11) . Using 1unl = 10yards , which vector represents the path from the house to the park, and what is the actual distance between them?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?