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  • Provide solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Fill in the blanks question 22

Provide solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Fill in the blanks question 22

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Answer:-|\vec{a}|=|\vec{b}|

Hint:-To solve this equation we use rhombus in parallelogram.

Given:-The vector \vec{a}+\vec{b}  bisects the angle between the non-collinear \vec{a} and \vec{b} if ---

Solution:-Non-collinear vector \vec{a} & \vec{b} have found parallelogram ABCD

 A C=\vec{a}+\vec{b}

                                                        

\begin{aligned} &\Rightarrow \angle D A C=\angle C A B=\theta \\\\ &\text { Rhombus } \Rightarrow A B=B C \\\\ &|\vec{a}|=|\vec{b}| \end{aligned}

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