Quiz #1 MATH 151 Section Name: September 5, 2002 1. Calculate the vector 2 < 3, −7 > −5 < 13, 5 > and give your answer in terms of the standard basis vectors i and j. 2. Find a unit vector that points in the same direction as the vector starting at the point (5, 13) and going to (17, 11). → → 3. If − a = −3i + 5j, what angle does − a make with the positive x axis? 4. A bird is flying northeast (i.e. with a bearing of N45o E) at a speed of 8mph. There is a slight breeze blowing due north at a speed of 1 mph. What vector would represent the resulting path of the bird? What is the ground speed (resulting speed) of the bird?