If three points A, B and C are collinear

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

If three points A, B and C are collinear, whose position vectors are i^−2j^−8k^\hat{i} - 2\hat{j} - 8\hat{k} , 5i^−2k^5\hat{i} - 2\hat{k} and 11i^+3j^+7k^11\hat{i} + 3\hat{j} + 7\hat{k} respectively, then the ratio in which B divides AC is (1) 1 : 2 (2) 2 : 3 (3) 2 : 1 (4) 1 : 1

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