Home Maths Vector Algebra Application of Vectors in Three Dimensional Geometry The position vectors of the vertices of a qu…
Maths Vector Algebra Application of Vectors in Three Dimensional Geometry Numeric Response
Published on: August 13, 2026

The position vectors of the vertices of a quadrilateral are a and respectively. Area of thequadrilateral formed by joining the middle points of its sides is . Find .

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The correct answer is:
4

4

It is given that and are the position vectors of vertices of a quadrilateral respectively. Let and are the middle points of sides and respectively. The position vectors of these points will be

Then

and

It is clear that is parallel to and is parallel to . Thus is a parallelogram.

Area of parallelogram is,

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