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  • Please Solve R.D. Sharma class 12 Chapter 22 Algbra of Vectors Exercise Very Short Answer Question 7 Maths textbook Solution.

Please Solve R.D. Sharma class 12 Chapter 22 Algbra of Vectors  Exercise Very Short Answer Question 7 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} represents the sides of a triangle taken in order, then write the value of \vec{a}+\vec{b}+\vec{c}

Solution: Let ABC be a triangle, such that \overrightarrow{B C}=\vec{a}, \overline{C A}=\vec{b} \& \overrightarrow{A B}=\vec{c}                                                   

Then,

        \begin{aligned} \vec{a}+\vec{b}+\vec{c}=\overrightarrow{B C}+\overline{C A}+\overline{A B} \\ \end{aligned}                                                                                                              

                            \begin{aligned} &=\overrightarrow{B A}+\overrightarrow{A B} \\ \end{aligned}                \begin{aligned} \left [ we\; can \; write \vec{BC}+\vec{CA}=\vec{BA} \right ] \end{aligned}                         

                           \begin{aligned} \text { But } \overrightarrow{A B}=-\overrightarrow{B A} \\ \end{aligned}         [Because \; of \; opposite\; direction]

            \begin{aligned} \therefore \overrightarrow{B A}+\overrightarrow{A B} \Rightarrow \overrightarrow{0} \end{aligned}

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