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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 22 Algebra of Vectors Exercise very Short Answer type Question 51 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 22 Algebra of Vectors  Exercise very Short Answer type Question 51 Maths Textbook Solution.

Answers (1)

Answer: 2\vec{b}-\vec{a}

Hint: You must know the rules of vector functions

Given: \Delta DAC , if B is mid-point of AC and \vec{OA}=\vec{a},\vec{OB}=\vec{b}find \vec{OC}

Solution:

                          

\triangle D A C \overrightarrow{O A}=\vec{a}, \overrightarrow{O B}=\vec{b}

\mathrm{B} \: \: is \: \: mid-point

\therefore$ Position vector of $B=\frac{\text { Position vector of A+Position vector of } \mathrm{C}}{2}

\overrightarrow{O B}=\frac{\overline{O A}+\overrightarrow{O C}}{2}

\vec{b}=\frac{\vec{a}+\overrightarrow{O C}}{2}

2 \vec{b}=\vec{a}+\overrightarrow{O C}

\overrightarrow{O C}=2 \vec{b}-\vec{a}

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