titik A(2,0,3), B(-3,1,n+2), dan C(m,-2,-1) segaris, nilai m-4n adalah... a. -3 b. -1 c. 0 d. 9 e. 18 tolong dibantu ya!!!

A (2, 0, 3)
B (-3, 1, n + 2)
C (m, -2, -1)
segaris maka AB = K AC

AB = OB - OA
= (-3, 1, n + 2) - (2, 0, 3)
= (-5, 1, n - 1)
AC = OC - OA
= (m, -2, -1) - (2, 0, 3)
= (m - 2, -2, -4)

AB = K AC
(-5, 1, n - 1) = k (m - 2, -2, -4)

1 = -2k
k = -½
nilai k berlaku untuk semua, untuk mencari m dan n

-5 = k (m - 2)
-5 = -½ (m - 2)
m - 2 = -5 × -2
m - 2= 10
m = 10 + 2
m = 12

n - 1 = k (-4)
n - 1 = -½ (-4)
n - 1 = 2
n = 2 + 1
n = 3

ditanyakan m - 4n = 12 - 4(3) = 12 - 12 = 0
jawaban C