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  • Please Solve R.D.Sharma class 12 Chapter 22 Algbra of Vectors Exercise Very Short Answer Question 6 Maths textbook Solution.

Please Solve R.D.Sharma class 12 Chapter 22 Algbra of Vectors Exercise Very Short Answer Question 6 Maths textbook Solution.

Answers (1)

Answer: \vec{a}+\vec{b},\vec{a}-\vec{b}

Hints: You must know the rules of vector functions.

Given: If \vec{a} and \vec{b}represents two adjacent sides of a parallelogram, then write vectors representing its diagonals.

Solution:

                                                

 Let  \vec{a} and \vec{b} represents two adjacent sides of a parallelogram ABCD.

            ∴ AB = DC and AD = BC                 [Because diagonals of parallelogram is equal]

             \begin{aligned} &\Rightarrow \overrightarrow{D C}=\overline{A B}=\vec{a} \\ &\overrightarrow{A D}=\overrightarrow{B C}=\vec{b} \end{aligned}

In ABC

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

Now, In ABD

                    \begin{aligned} & \overrightarrow{A D}+\overline{D B}=\overline{A B} \\ & \vec{b}+\overrightarrow{D B}=\vec{a} \\ \Rightarrow \overrightarrow{D B} &=\vec{a}-\vec{b} \end{aligned}

Vectors representing its diagonals are \left ( \vec{a}+\vec{b} \right ),\left ( \vec{a}-\vec{b} \right )

           

 

 

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