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  • Explain solution RD Sharma class 12 chapter 22 Algebra of Vectors exercise Fill in the blanks question 4 maths

Explain solution RD Sharma class 12 chapter 22 Algebra of Vectors exercise Fill in the blanks question 4 maths

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Answer:- 0

Hint:- To solve this equation we will make triangle, then we will find modulus.

Given:-If  a, b, c are the positive vectors of vertices of an equilateral triangle having its circumcentre at the origin, then \vec{a}+\vec{b}+\vec{c}=\cdots \cdots \cdots

Solution:-\overrightarrow{O C}=\vec{c} 

                                                        

Centroid of triangle = (a+b+c)/3

For an equilateral triangle the circumcentre coincide with the centroid. Therefore,

\begin{aligned} &\frac{\vec{a}+\vec{b}+\vec{c}}{3}=0 \\\\ &\vec{a}+\vec{b}+\vec{c}=0 \end{aligned}

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