QUIZ 1. You are walking 9 blocks east and 5 blocks north. How many blocks do you travel if you are traveling by helicopter in a straight line? a. 14 blocks b. 17.2 blocks c. 10.3 blocks d. 15.5 blocks Answer: c. As the answer will be the square root of the squares of 9 and 5, you get 81 plus 25 or 106, of which the square root is 10.3. This is fully based on the Pythagorean theorem. 2. What must be true to use the Pythagorean theorem? a. The triangle must be on a grid. b. It must be a right triangle. c. All values for the vectors must be positive. d. Vector AB must be greater than vector BC. Answer: b. The triangle must be a right triangle, with one angle being 90 degrees. According to the theorem, AB2 + BC2 = AC2, in which each of these are vectors and the angle ABC must be 90 degrees in order to have the theorem be valid. 3. You are doing a problem in which an individual travels 9 miles east, 4 miles northwest (at 45 degrees) and 2 miles south. Which vector do you start with in drawing this? a. 9 miles east b. 4 miles northwest c. 2 miles south d. It does not matter
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