please solve RD sharma class 12 chapter 22 Algebra of vector exercise 22.4 question 4 maths textbook solution
                
                  Hence, line segments joining the midpoints of opposite sides of a quadrilateral bisects each other.
Hint:
With the help of vector algebra.
Given:
We have line segments joining the midpoints of opposite sides of a quadrilateral
Solution :
Let the quadrilateral be an parallelogram so the line segments joining the midpoints of opposite sides of the quadrilateral becomes its diagonals
Let A be the origin  and  and  
                                               

As the diagonals of an parallelogram bisect each other so the line segments joining the midpoints of opposite sides of a quadrilateral bisects each other as the line segments becomes parallel to the diagonals of the quadrilateral.