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  • Need solution for RD Sharma Maths Class 12 Chapter 22 Algera of Vectors Excercise 22.6 Question 15

Need solution for RD Sharma Maths Class 12 Chapter 22 Algera of Vectors Excercise 22.6 Question 15

Answers (1)

Answer:

\frac{1}{\sqrt{3}}

Hint:

Unit vector of  \vec{a}=\frac{\vec{a}}{|\vec{a}|}

Given:

x(\hat{\imath}+\hat{\jmath}+\hat{k})   is a unit vector.

Solution:

\begin{aligned} &\text { Let } \vec{a}=\hat{\imath}+\hat{\jmath}+\hat{k} \\ &\hat{a}=\frac{\vec{a}}{|\vec{a}|}=x \vec{a} \\ &\Rightarrow x=\frac{1}{|\vec{a}|} \\ &\Rightarrow|\vec{a}|=\sqrt{1^{2}+1^{2}+1^{2}}=\sqrt{3} \\ &x=\frac{1}{\sqrt{3}} \end{aligned}

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