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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 22 Algebra of Vectors Exercise 22.2 Question 8 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 22 Algebra of Vectors  Exercise 22.2 Question 8 Maths Textbook Solution.

Answers (1)

Answer:

We need to prove that

Hint:

Used equal and adjacent side law.

Given :

Let 0 be the centre of the octagon with vertices ABCDEFGH.

Solution:

since 0 is the mid-point.

\begin{aligned} &\overrightarrow{O A}=-\overrightarrow{O E}\\ &\overrightarrow{O A}+\overrightarrow{O E}=0 \ldots \ldots \ldots \text { (1) }\\ &\overrightarrow{O B}=-\overrightarrow{O F}\\ &\overrightarrow{O B}+\overrightarrow{O F}=0 \ldots \ldots \ldots . .\\ &\overrightarrow{O C}=-\overrightarrow{O G}\\ &\overrightarrow{O C}+\overrightarrow{O G}=0 \ldots \ldots \ldots .\\ &\overrightarrow{O P}=-\overrightarrow{O H}\\ &\overrightarrow{O P}+\overrightarrow{O H}=0 \ldots \ldots \ldots \ldots . \text { (4) }\\ \end{aligned}

Adding (1) (2) (3) and (4)

\begin{aligned} &\overrightarrow{O A}+\overrightarrow{O E}+\overrightarrow{O B}+\overrightarrow{O F}+\overrightarrow{O C}+\overrightarrow{O G}+\overrightarrow{O P}+\overrightarrow{O H}=\overrightarrow{0} \end{aligned}

Hence proved.

Posted by

infoexpert21

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