JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

is a regular hexagon where centre is the origin. If the position vectors of and are and respectively then is equal to

Answer: (B)

Solution

*(Figure: regular hexagon (A, B at the bottom, C on the right, D, E at the top, F on the left) with centre ; triangles , are equilateral.)*

In a regular hexagon the six triangles are equilateral, so is a rhombus and with

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Question ID VK-109610