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  • Explain solution RD Sharma Class 12 Chapter 26 Direction Cosines and Direction Ratios Exercise Very Short Answer Question, question 11 Maths.

Explain solution RD Sharma Class 12 Chapter 26 Direction Cosines and Direction Ratios Exercise Very Short Answer Question, question 11 Maths.

Answers (1)

Answer:

\frac{3\pi}{4}

Hint:

Cosine is trigonometric ratio

Given:

Distance ratio (0, -1, -1)

Solution:

here,  a=0,  b=1,  c= -1

let direction cosine are l, m, n

\begin{aligned} &l=\frac{a}{\sqrt{a^{2}+b^{2}+c^{2}}} \\ &m=\frac{b}{\sqrt{a^{2}+b^{2}+c^{2}}} \\ &n=\frac{c}{\sqrt{a^{2}+b^{2}+c^{2}}} \end{aligned}

\begin{aligned} &\cos \theta=n=\frac{(-1)}{\sqrt{(0)^{2}+(1)^{2}+(-1)^{2}}} \\ &\cos \theta=-\frac{1}{\sqrt{2}} \\ &\theta=\frac{3 \pi}{4} \end{aligned}

 

 

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