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  • Please Solve R.D. Sharma class 12 Chapter 22 Algbra of Vectors Exercise Very Short Answer Question 8 Maths textbook Solution.

Please Solve R.D. Sharma class 12 Chapter 22 Algbra of Vectors Exercise Very Short Answer Question 8 Maths textbook Solution.

Answers (1)

Answer: \vec{0}

Hint: You must know the rules of vector functions.

Given: If \vec{a},\vec{b},\vec{c} are position vectors of vertices A, B and C respectively of a triangle ABC, write the value of \vec{AB},\vec{BC},\vec{CA}

Solution: Given \vec{a},\vec{b},\vec{c} are position vectors of vertices A, B and C respectively

            Then,

                    \begin{aligned} &\overrightarrow{A B}=\vec{b}-\vec{a} \\ &\overrightarrow{B C}=\vec{c}-\vec{b} \\ &\overrightarrow{C A}=\vec{a}-\vec{c} \end{aligned}

                       

Consider,

            \vec{AB}+\vec{BC}+\vec{CA}=\vec{b}-\vec{a}+\vec{c}-\vec{b}+\vec{a}-\vec{c}

                                       \Rightarrow \vec{0}

                                   

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