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  • Provide Solution For R.D.Sharma Maths Class 12 Chapter 22 Algebra of Vectors Exercise 22.9 Question 4 Maths Textbook Solution.

Provide Solution For R.D.Sharma Maths Class 12 Chapter 22 Algebra of Vectors  Exercise 22.9 Question 4 Maths Textbook Solution.

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Answer:2\sqrt{3}\left ( \hat{i}+\hat{j}+\hat{k} \right )

Given: A vector \vec{\mu } is inclined at equal acute angles to x-axis, y-axis and z-axis . If \mid \vec{\mu }\mid =6  units, find \mid \vec{\mu }\mid

Hint: Find magnitude of \vec{\mu }

Explanation: Let any vector \vec{\mu}=(\cos \alpha \hat{i}+\cos \beta \hat{j}+\cos \gamma \hat{k})

For equal angles

\begin{aligned} &\vec{\mu}=k(\hat{i}+\hat{j}+\hat{k}) \\ &|\vec{u}|=\sqrt{k^{2}+k^{2}+k^{2}}=6[\because \text { of given] } \\ &\Rightarrow 3 k^{2}=36 \\ &\Rightarrow k^{2}=12 \\ &\Rightarrow k=2 \sqrt{3} \\ &\therefore \vec{\mu}=2 \sqrt{3}(\hat{i}+\hat{j}+\hat{k}) \end{aligned}

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