koordinat A (4,-3,8) B(-1,2,5) jika AB:AC= 3:2.Koordinat C ialah a.1,1,5 b.-1,1,-5 c.1,-1,-5 d.1,-1,5 e. -1,1,5

VEKTOR

langsung aja ya

AB : AC = 3 : 2
AB/AC = 3/2
2AB = 3AC
atau
3AC = 2AB
3C - 3A = 2B - 2A
3C = 2B - 2A + 3A
3C = 2B + A
C = 1/3 ×(2B + A)
C = 1/3 ×(2(-1,2,5) + (4,-3,8))
C = 1/3 × ((-2, 4, 10) + (4, -3, 8))
C = 1/3 × (2, 1, 18)
C = (2/3 , 1/3 , 6)

jadi koordinat titik C (2/3, 1/3, 6)