Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 6

Provide solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 6

Answers (1)

Answer: 4 \overrightarrow{O G}

Hint: Find \overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}+\overrightarrow{O D}=?

Given: If G is intersection of diagonal of parallelogram. ABCD  and O is any point that \overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}+\overrightarrow{O D}=?

Solution: Let consider the point O as origin G is the midpoint of AC

        \begin{aligned} &\overrightarrow{O G}=\frac{\overrightarrow{O A}+\overrightarrow{O C}}{2} \\\\ &2 \overrightarrow{O G}=\overrightarrow{O A}+\overrightarrow{O C} \end{aligned}                ................(1)

Also G is midpoint of BD

        \begin{aligned} &\overrightarrow{O G}=\frac{\overrightarrow{O B}+\overrightarrow{O D}}{2} \\\\ &2 \overrightarrow{O G}=\overrightarrow{O B}+\overrightarrow{O D} \end{aligned}

On add (1) and (2)

        \begin{aligned} &2 \overrightarrow{O G}+2 \overrightarrow{O G}=\overrightarrow{O A}+\overrightarrow{O C}+\overrightarrow{O B}+\overrightarrow{O D} \\\\ &4 \overrightarrow{O G}=\overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}+\overrightarrow{O D} \\\\ &\overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}+\overrightarrow{O D}=4 \overrightarrow{O G} \end{aligned}

Posted by

infoexpert26

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question