MHT CET 2022 Mathematics question

Mathematics Vector Algebra MHT CET 2022

If are position vectors of points A, B, C respectively, with , then the ratio in which point C divides segment AB is

(A)2 : 3 internally
(B)2 : 3 externally
(C)3 : 2 internallyCorrect
(D)3 : 2 externally

Answer: (C)

Solution

From we get . The section formula for a point dividing AB internally in the ratio is . Comparing, and , so and the coefficients are both

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Question ID VK-093856