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  • Need solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 19

Need solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 19

Answers (1)

Answer: \overrightarrow{A B}+\overrightarrow{B C}-\overrightarrow{C A}=0

Hint: According to diagram

Given: Which of the following is not true?

Solution:

\text { From the given diagram }

\begin{aligned} &\overrightarrow{A B}+\overrightarrow{B C}=\overrightarrow{A C} \\ &\overrightarrow{A B}+\overrightarrow{B C}-\overrightarrow{C A}=\overrightarrow{A C}-\overrightarrow{C A} \\ &\Rightarrow \overrightarrow{A B}+\overrightarrow{B C}-\overrightarrow{C A}=2 \overrightarrow{A C} \end{aligned}

Hence, \overrightarrow{A B}+\overrightarrow{B C}-\overrightarrow{C A}=0  is not true.

 

 

 

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