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10. Determine a unit vector that is perpendicular to both d= [2, 1,-3] and 6 = [4,-1,5]. [ST]

Given the coordinates A (-2,3,4) and B (1,0,-2), answer questions #1-5. For each multiple choice question, write your choice of letter on the line provided. [7K] 1. Which of the following describes the vector AB ? a) [-3,3,6] b) [-1,3,2] c) [3,-3,-6] d) [1.-3, -2] 2. Which of the following is equal to | AB? a) √14 units b) √54 units c) 6 units d) √6 units 3. Which of the following is orthogonal to OA? a) [1,6,-4] b) [2,-3,-41 c) [4,3,-2] d) [-1,6,4] 4. Written in terms of its vector components, OA is: a) -2e + 3) + 4k b)-2[1,0,0] +3[0,1,0] +4[0,0,1] c) (-22) (3J) (4k) 5. Which of the following is collinear to OB? a) [3,0,-5] b) [4,0,8] c) (-2,0,11 d) [1,0,2] -6. Given d= [3,-1,-1], and h = [2,-4,3), d-h= a) 7 b) 5 c) [-7.-11.-10] d) [7,11,10] -7. Given lä] =25, and 6 = 54 and the angle between their tails is 110%, determine the magnitude of a x b: a) 461.727 b) 1268.585 c) 3709.095 d) 148 500 d) both a and b