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  • Need Solution for R.D .Sharma Maths Class 12 Chapter 22 Algebra of Vectors Exercise Very Short Answer Type Question 41 Maths Textbook Solution.

Need Solution for R.D .Sharma Maths Class 12 Chapter 22 Algebra of Vectors  Exercise very Short Answer type Question 41 Maths Textbook Solution.

Answers (1)

Answer: \frac{-2}{\sqrt{30}},\frac{1}{\sqrt{30}},\frac{-5}{\sqrt{30}}

Hint: You must know the rules of vector functions

Given: Find direction cosines of -2\hat{i}+\hat{j}-5\hat{k}

Solution: Let \vec{a}=-2\hat{i}+\hat{j}-5\hat{k}

     Then its cosines are,

\begin{aligned} &\frac{-2}{\sqrt{(-2)^{2}+(1)^{2}+(-5)^{2}}}, \frac{1}{\sqrt{(-2)^{2}+(1)^{2}+(-5)^{2}}}, \frac{-5}{\sqrt{(-2)^{2}+(1)^{2}+(-5)^{2}}} \\ &\frac{-2}{\sqrt{4+1+25}}, \frac{1}{\sqrt{4+1+25}}, \frac{-5}{\sqrt{4+1+25}} \\ &\frac{-2}{\sqrt{30}}, \frac{1}{\sqrt{30}}, \frac{-5}{\sqrt{30}} \end{aligned}

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