Titik A(3,2,-1),B(1,-2,1) dan C(7,p-1,-5) segaris unuk nilai p=
Matematika
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Pertanyaan
Titik A(3,2,-1),B(1,-2,1) dan C(7,p-1,-5) segaris unuk nilai p=
2 Jawaban
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1. Jawaban keruasriki
langsung aja ya
(p-1 - (-2))/(-2-2) = (7-1)/(1-3)
(p - 1 + 2)/(-4) = 6/(-2)
(p + 1)/(-4) = -3
p + 1 = -3×-4
p + 1 = 12
p = 12 - 1
p = 11 -
2. Jawaban arsetpopeye
Jika A, B, dan C segaris maka berlaku :
AB = k BC
(b - a) = k (c - b)
(1, -2, 1) - (3, 2, -1) = k ((7, p - 1, -5) - (1, -2, 1))
(-2, -4, 2) = k (6, p + 1, -6)
(-2, -4, 2) = (6k, (p + 1)k, -6k)
6k = -2 => k = -2/6 => k = -1/3
(p + 1)k = -4
(p + 1) . -1/3 = -4
p + 1 = 12
p = 11