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JEE Main 2012 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2012

ABCD is parallelogram. The position vectors of A and C are respectively, and . If M is the midpoint of the diagonal DB, then the magnitude of the projection of on , where O is the origin, is

Answer: (4)

Solution

The diagonals bisect each other, so M is the midpoint of AC: (2, −1, 0). Projection $=

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Question ID VK-103441