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Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 21 maths textbook solution

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Answer: \hat{i}-\hat{j}+2 \hat{k}

Hint: Initial vector find

Given: The vector with initial point P(2,-3,5) terminal point Q(3,-4,7)is

Solution: Require vector   \begin{aligned} \overrightarrow{A B}=&(3-2) \hat{i}+(-4+3) \hat{j}+(7-5) \hat{k} \\\\ \end{aligned}

                                               =\hat{i}-\hat{j}+2 \hat{k}

                                                    

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