Let a b cr r r be three vectors in the xyz space such that a b b c c

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Let a b cr r r , , be three vectors in the xyz space such that a ×b = b × c = c × a ≠ 0 r r r r r r If A, B, C are points with
position vectors a b cr r r , , respectively, then the number of possible positions of the centroid of triangle ABC is: Asked In KVPY MAN (11 years ago); Unsolved; Is this Puzzle helpful? (0) (0) Submit Your Solution

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Latest KVPY Aptitude Question SOLUTION: Let a b cr r r , , be three vectors in the xyz space such that a ×b = b × c = c × a ≠ 0 r r r r r r If A, B, C are points with position vectors a b cr r r , , respectively, th