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  • Please Solve RD Sharma Class 12 Chapter 22 Algebra of Vectors Exercise 22.6 Question 11 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 22 Algebra of Vectors Exercise 22.6 Question 11 Maths Textbook Solution.

Answers (1)

Answer:

3 \hat{\imath}-\hat{j}+\hat{k}

Hint:
Mid – point of the vector joining the point  \vec{P} \text { and } \vec{Q}=\frac{\vec{p}+\vec{Q}}{2}

Given:

Two points are  P(2 \hat{\imath}-3 \hat{\jmath}+4 \hat{k}) \text { and } Q(4 \hat{\imath}+\hat{\jmath}-2 \hat{k})

Solution:

Let \overrightarrow {R}  be the mid – point of the vector joining the point \overrightarrow {P}  and  \overrightarrow {Q}

Then,  \vec{R} =\frac{\vec{p}+\vec{Q}}{2}

  \begin{aligned} \\ &=\frac{(2 \hat{t}-3 \hat{\jmath}+4 \hat{k})+(4 \hat{\imath}+\hat{j}-2 \hat{k})}{2} \end{aligned}                                                   [ By mid – point formula ]

\begin{aligned} =\frac{6 \hat{\imath}-2 \hat{\jmath}+2 \hat{k}}{2} \\ \therefore \vec{R}=3 \hat{\imath}-\hat{j}+\hat{k} \end{aligned}

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