PENILAIAN AKHIR SEMESTER GENAP
QUESTIONS 1. a=i-8j+5k b=3i+8j+2k C=-2i-4j+3k A+2b-3c = (1,-8, 5) + 2 (3,8,2) - 3 (-2,-4,3) = (1,-8,5) + (6,16,4) - (-6,-12,9) = 13i + 20j 2. (7,-4, p) x (1, 8, -5) = 0 7 + (-32) - 5p = 0 -25p = 5 p = -5 = a - b - c = (7,-4,-5) - (1,-8,-4) - (1,-2,-3) = (5,-10,-3) 3. PQ = Q - P = (-4, 1) x (9, 11) = ( -13, -10 ) QUESTIONS 2 4. AB = k × BC B - A = k × C - B (7, -14, 6) - (1, -5, -9) = k × (15, -26, 20) - (7, -14, 6 ) (6, -9, 15) = k × (8, -12, 14) 6 = k × 8 K = 6/8 K = 3 : 4 5. u = AB = B - A = (2, -1, 8) - (-3, 5, 2) = (5, -6, 6) v = BC = C - B = (3, -4, 6) - (2, -1, 8) = (1, -3, -2) U × V = (5, -6, 6) x (1, -3, -2) = 5 + 18 - 12 = 11 6. a = PQ = Q - P = (-4, 20, 10) - (-8, -4,