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  • Please Solve R.D.Sharma class 12 Chapter 22 Algbra of Vectors Exercise 22.3 Question 2 Maths Textbook Solution.

Please Solve R.D.Sharma class 12 Chapter 22 Algbra of Vectors  Exercise 22.3 Question 2 Maths Textbook Solution.

Answers (1)

Answer:

-\vec{a}-7\vec{b}

Hint:  if \: a \: point \: Z \: divides\: a \: line\: XY \: into\: m:n\: ratio \: externally \: then \: pointZ=\frac{m\vec{OY-n\vec{OX}}}{m-n}

Given:

\vec{OX}=3\vec{a}+\vec{b}

\vec{OY}=\vec{a}-3\vec{b}

Solution: \vec{d}

\vec{OZ}\: (Externally)

\begin{aligned} &=\frac{(2(\vec{a}-3 \vec{b})-1(3 \vec{a}+\vec{b}))}{2-1} \\ &=(2 \vec{a}-6 \vec{b}-3 \vec{a}-\vec{b}) \\ &=-\vec{a}-7 \vec{b} \end{aligned}

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