JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

is a point in the plane of the whose orthocentre is and the circumcentre is . Forces and act at . The force that will keep the given forces in equilibrium is

Answer: (C)

Solution

Take the circumcentre as origin and let be the position vectors of . With the circumcentre at the origin, the orthocentre is (standard result; equivalently where is the midpoint

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Question ID VK-109716