dik a=(2,8,3) b=(2,3,-2) ap : ab = 1 : 5 ditanya=pb...?

Jawabannya adalah (0, -4, -4) Konsep Jika A(a, b) dan B (c, d) Maka AB = B-A = (c-a, d-b) kA = (ka, kb) a:b = c : d, maka ad = bc Misal P =(x, y, z) AP : AB = 1 : 5 5AP= AB 5(x-2, y-8, z-3) = (2-2,3-8,-2-3) (5x-10, 5y-40, 5z-15) = (0,-5,-5) 5x-10 =0 5x = 10 x = 2 5y-40 = -5 5y = - 5 +40 5y = 35 y = 7 5z-15= -5 5z = - 5 +15 5z = 10 z = 2 P =(x, y, z) =(2, 7, 2) PB = B - P = (2, 3, -2) - (2, 7, 2) = (2-2, 3-7, -2-2) = (0, -4, -4) Jadi jawabnya PB adalah (0, -4, - 4)