JEE Main 2012 — Vector Algebra Question with Solution
JEE Main 2012 (07 May Online)
Question
is parallelogram. The position vectors of and are respectively, and . If is the midpoint of the diagonal , then the magnitude of the projection of on , where is the origin, is
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Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation

In a parallelogram, diagonals bisect each other. So, mid point of is also the midpoint of . Mid-point of Direction ratio of Direction ratio of Angle between and is given by Projection of on is given by
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This is a previous-year question from JEE Main 2012, covering the Vector Algebra chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.