Meera+Patel


 * CQ 12; P 11; 39, 34**

One component of a vector can be zero, but if the other component is not zero, then when the two components are added to make a vector, the vector does have a value. (Ex: a vector pointing due north has a horizontal component equal to zero, but because it has a vertical component with a value, the vector does not equal zero.) If two vectors with the same magnitudes but exact opposite directions are added, the resultant vector will end up exactly where it started from, therefore making it zero.
 * CQ 12: (a) Is it possible for one component of a vector to be zero, while the vector itself is not zero?**
 * (b) Is it possible for a vector to be zero, while one component of the vector is not zero? Explain**.

First make a right triangle with the vertical leg 192 meters and its opposite angle 2.0 degrees and the horizontal component labeled as x. Then subtract 92 degrees from the total 180 degrees in the triangle to get 88. Label the angle opposite side x 88. Now use the Sine Law and make a proportion
 * P 11: You are driving into St. Louis, Missouri, and in the distance you see the famous Gateway to the West arch. The monument rises to a height of 192 m. You estimate your line of sight with the top of the arch to be 2.0 degrees above the horizontal. Approximately how far (in km) are you from the base of the arch?**


 * sin 2 degrees || sin 88 degrees ||
 * 192 meters || x meters ||

Then solve for x and get 5498.16063 meters as your answer.


 * P 39: The drawing shows a force vector that has a magnitude of 475 newtons. Find the (a) x, (b) y, and (c) z components of the vector**.


 * P 34: Soccer player 1 is 8.6 m from the goal (see the drawing). If she kicks the ball directly into the net, the ball has a displacement labeled vector A. If, on the other hand, she first kicks it to player 2, who then kicks it into the net, the ball undergoes two successive displacements, Vector A sub X and Vector A sub Y. What are the magnitudes and directions of Vector A sub X and Vector A sub Y?**