Published by:
CGP EDU Academic Team
Published on: August 14, 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
.
Text Solution
Verified by ExpertsThe 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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