Worksheet 18 Section 9.1 Math 1113 1. Vectors and vector operations. a. Write the vectors u and v in component form. u = y= b. Perform the indicated operations on the given vectors and record the result in component form and draw the resulting vector in the given grid with initial point at the origin. u-v= V-u= 2u-v= 2 v u= 10 9676 54 3 V 2 u P. Ori -10-9-8-7 -6 -5 -4 -3-2-10 23 4 5 6 7 8 9 10 -3 v-2u= u-2 v= 2. Express the vector with initial point P and terminal point Q in component form. a. P(1, 1), Q(9,9) c. P(-8, -6), Q(-1, -1) -S -6 -7 -8 -9 -10 b. P(-1, 3), Q(-6, -1) d. P(3, 1), Q(1, -2) 3. Express the given vectors in terms of the standard normal vectors i and j. a. (-2, 10) Initial point P and terminal point Q. c. P(-8, -6), Q(-1, -1) b. (0,-5) d. P(3, 1), Q(1,-2) 4. Perform the indicated operations (2u, -3v, u + v, 3 u - 4 v) on the given vectors and express your result in both component form and in terms of the vectors i and j. a. u=(-2,5), v = (2,-8) b. ui+j, vi-2j 5. Determine the magnitude and direction of the given vectors (in radians and degrees as measured counter clockwise from the positive x-axis). a. u = (10, -1) b. v=3i-2j 6. Express the given vector in component form and in terms of i and j. a. lvl 40, 0 = 30 = b. Ju 3,0=480