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  • Explain solution RD Sharma Class 12 Chapter 26 Direction Cosines and Direction Ratios Exercise Very Short Answer Question, question 17 Maths.

Explain solution RD Sharma Class 12 Chapter 26 Direction Cosines and Direction Ratios Exercise Very Short Answer Question, question 17 Maths.

Answers (1)

Answer:

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

Hint:

l=\frac{a}{\sqrt{a^{2}+b^{2}+c^{2}}}, \quad m=\frac{b}{\sqrt{a^{2}+b^{2}+c^{2}}}, \quad n=\frac{c}{\sqrt{a^{2}+b^{2}+c^{2}}}

 

Given:

D'R proportional to 2, -1, 2.

Solution:

Let l, m, n be direction cosine.

\begin{aligned} &l=\frac{2}{\sqrt{4+1+4}} \\ &m=\frac{-1}{\sqrt{4+1+4}} \\ &n=\frac{-2}{\sqrt{4+1+4}} \\ &l=\frac{2}{3} \\ &m=\frac{-1}{3} \\ &n=\frac{-2}{3} \\ &\langle l, m, n\rangle=\langle \frac{2}{3},\frac{-1}{3},\frac{-2}{3}\rangle \end{aligned}

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