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  • please solve RD sharma class 12 chapter 22 Algebra of vector exercise 22.4 question 4 maths textbook solution

please solve RD sharma class 12 chapter 22 Algebra of vector exercise 22.4 question 4 maths textbook solution

Answers (1)

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 AB=\vec{a} and  AD=\vec{b}                                               

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.

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