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The point dividing A(2, 0, 4) and B(8, 6, 10) in the ratio 1:2 internally has position vector
A6i + 4j + 8k
B4i + 2j + 6k
C3i + j + 5k
D5i + 3j + 7k
Answer & Solution
Correct answer: B. 4i + 2j + 6k
With ratio 1:2 the point is (2A + B)/3, which gives (12/3, 6/3, 18/3) = (4, 2, 6).
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