titik A(2,0,3),B(-3,1,n+2),dan C(m, - 2,-1)segaris, nilai m-4n adalah
Matematika
aldi1082
Pertanyaan
titik A(2,0,3),B(-3,1,n+2),dan C(m, - 2,-1)segaris, nilai m-4n adalah
1 Jawaban
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1. Jawaban keruasriki
VEKTOR
AB = k(BC)
B - A = k(C - B)
(-3,1,n+2) - (2,0,3) = k((m, -2, -1) - (-3, 1, n+2))
(-5, 1, n-1) = k(m+3, -3, n - 3)
cari dulu nilai k
1 = -3k
k = -1/3
-5 = k(m+3)
-5 = -1/3(m+3)
15=m+3
m = 15-3
m = 12
n-1 = k(n-3)
n-1 = -1/3(n-3)
3n - 3 = -(n-3)
3n - 3 = -n + 3
3n+n = 3+3
4n = 6
n = 6/4
n = 3/2
m-4n = 12 - 4(3/2) = 12 - 6 = 6