Chapter 11.2, Problem 5E

8. Consider the vector v = (-7,8) A. What is the angle between = (-7,8) and the positive x-axis? = Part I: Use the formula ₁₂₁|₂|cose to find the cosine of the angle between the two vectors (-7,8) and (1,0). Cos=-0.6585 Part II: Use the cosine of the angle to find the actual angle between the two vectors.

Give the magnitude and direction for each vector. 7. (3,4) 8. (8/2,-8/2) 9. i+ V3 j 10. -3i - 5j

Vector y has an initial point of (7,-2) and a terminal point of (-1,-5). a. Find the component form of y. <-2 -5 b. What angle does y make with the positive x-axis when it is in the standard position? (round to one decimal place)