Question

Jika A (1,2,3) B (-1,4,8) dan C (5 ,p, q)kolinear .tentukan nilai 2pq
tolongg donk

Answer 1

Karena kolinear maka AB = k × BC
AB = k × BC
b-a = k × (c-b)
(-1 -1 8) - (1 2 3) = k × [(5 p q) - (-1 4 8)]
(-2 2 5) = k × (6 p-4 q-8)

-2 = k × 6
k = - \frac{1}{3}

2 = - \frac{1}{3} × (p-4)
6 = -p + 4
p = -2

5 = - \frac{1}{3} × (q -8)
15 = -q + 8
q = -7

maka 2pq adalah 2 × -2 × -7 = 28