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  • Explain solution RD Sharma class 12 chapter 22 Algebra of Vectors exercise Fill in the blanks question 8 maths

Explain solution RD Sharma class 12 chapter 22 Algebra of Vectors exercise Fill in the blanks question 8 maths

Answers (1)

Answer:- \frac{1}{3}, \frac{-2}{3}, \frac{2}{3}

Hint:- To solve this question we use,\vec{a}=|\vec{a}|

Given:- The cosines of the angles made by the vector \hat{i}-2 \hat{j}+2 \hat{k}  with the coordinates axes are

Solution:- Let \vec{a} makes \alpha,\beta \; \&\; \gamma with x,y and z axis respectively

\begin{aligned} &\vec{a}=\hat{i}-2 \hat{j}+2 \hat{k} \\\\ &|\vec{a}|=\sqrt{1+4+4}=\sqrt{9}=3 \\\\ &\text { Dc of } \vec{a}=\left(\frac{1}{3}, \frac{-2}{3}, \frac{2}{3}\right)=(l, m, n) \end{aligned}

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