2. Use the component method to determine (a] the vector sum (expressed in terms of the magnitude and direction of the computed vector sum) and (b) the vector difference of the two vectors A and B in the previous question (expressed in terms of the magnitude and direction of the computed vector difference). (c) determine the % differences between the computed values of the magnitudes and angles obtained in parts (a) and (b) above and the measured values obtained in problem #1.3. Suppose you walk 12.0 [m] straight east and then 9.0 [m] straight north. (a) How far are you from your starting point? (b) What is the compass heading of a line that connects your starting point to your final position? (c) Draw a sketch illustrating the vectors involved in the solution to this problem,PHYS 1331 General Physics 1 Ch. 3 HW - Problems 1,2,3 Note on notation: There are several different conventional methods for indicating that a variable is a vector. Your textbook indicates that a quantity is a vector by writing it in bold face type such as the vector A. This is easy to write if you are using a word processing program, but not if you are writing something by hand. When you are writing out quantities by hand it is generally easier to indicate a vector quantity by drawing an arrow above the symbol representing the quantity, such as the vector A. Accordingly, in an effort to minimize confusion, I will try to always indicate a vector quantity by using the "arrow over the symbol" convention. 1. Vector A has a magnitude of 5.00 units and is directed 30.0 counter clockwise from the positive x-axis (ie., 30.0" above the positive x-axis) . Vector B has a magnitude of 2.00 units, but is directed along the negative y-axis. Using the graphical method (ie., using a protractor and ruler): (a) draw the vector sum A + B and measure: (1) the length of the resultant vector, and (2) the angle the resultant vector A + B makes with the positive x- direction, and (b) draw the vector difference A - B and measure: (1) the length of the resultant vector, and (2) the angle the resultant vector A - B makes with the positive x- direction