Question
Given that P(3, 2, -4), Q(5, 4, -6) and R(9, 8, -10) are collinear. Find the ratio in which Q divides PR.

Answer

P(3, 2, -4), Q(5, 4, -6) and R(9, 8, -10) $\text{PQ}=\sqrt{4+4+4}=2\sqrt{3}$ $\text{QR}=\sqrt{16+16 +16}=4\sqrt{3}$ $\text{PQ}:\text{QR}=1:2$

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