Get Answers to all your Questions

header-bg qa

Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Fill in the blanks question 17 maths textbook solution

Answers (1)

best_answer

Answer:-\lambda =4

Hint:-To solve this question we have to connect or add AP,BP ,CP\; and\; DP vectors

Given:-Let P be the point of intersection of the diagonal of a parallelogram ABCD and O is any point If \overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}+\overrightarrow{O D}=\lambda \overrightarrow{O P}            

Solution:-   

\overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}+\overrightarrow{O D}=\lambda \overline{O P}

\begin{aligned} &=(\overrightarrow{O A}+\overrightarrow{A P})+(\overrightarrow{O B}+\overrightarrow{B P})+(\overrightarrow{O C}-\overrightarrow{C P})+(\overrightarrow{O D}+\overrightarrow{D P}) \\\\ &=\overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}+(\overrightarrow{A P}+\overline{C P})+(\overline{B P}+\overrightarrow{D P}) \\\\ &=\overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}+\overrightarrow{O D}=4 \overline{O P} \\\\ &\lambda=4 \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