1. The initial point and the terminal point of a vector are given. Write the vector in component form. Initial point: (3, 5); Terminal point: (-2, -1) 2. Let u = , v = , and w = . Find the component form of the vector. -2u-3v 3. Find a unit vector in the direction of v = . Write your answer as a linear combination of the standard unit vectors i and j. Round each component to the nearest hundredth, if necessary. 4. Find the component form of v if the direction angle is 55 and the magnitude is 14. (See diagram below.) Round each component to the nearest hundredth, if necessary. 14 55 5. Find the magnitude and direction angle of the given vector. -31-5j 6. Find the dot product if u = , v = , and w = . (+) w 7. Using the theorem given in this lesson, find the angle between the given vectors. u = and v = 8. An airplane is flying on a bearing of 335 at 530 miles per hour. Find the component form of the velocity of the airplane. 9. A basketball is shot at a 70 angle with the horizontal with an initial velocity of 10 meters per second. Find the component form of the initial velocity. 10. A force of 50 pounds acts on an object at an angle of 45. A second force of 75 pounds acts on the object at an angle of -30. Find the direction and magnitude of the resultant force.