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  • Please Solve RD Sharma Class 12 Chapter 22 Algebra of Vectors Exercise 22.7 Question 10 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 22 Algebra of Vectors Exercise 22.7 Question 10 Maths Textbook Solution.

Answers (1)

Answer:

9

Hint:

If one vector is scalar product of another vector, then they are parallel and collinear.

Given:

\begin{aligned} &\vec{a}=2 \hat{i}-3 \hat{j} \\ &\vec{b}=-6 \hat{i}+m \hat{j} \end{aligned}    Are collinear

Solution:

\begin{aligned} &\vec{a}=2 \hat{i}-3 \hat{j} \\ & \end{aligned}

\vec{b}=-6 \hat{i}+m \hat{j} \\

\vec{b}=\lambda \vec{a} \\

(-6 \hat{i}+m \hat{j})=\lambda(2 \hat{i}-3 \hat{j}) 

Comparing we get

-6=2 \lambda \\

\lambda=-3 \\                                 … (i)

m=-3 \lambda \\

m=-3(-3) \\                 … (From (i))

\begin{aligned} & &m=9 \end{aligned}

\therefore Value of m is 9

 

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