The angle between two lines $\frac{x+1}{2}=\frac{y+3}{2}=\frac{z-4}{-1}$ and $\frac{x-4}{1}=\frac{y+4}{2}=\frac{z+1}{2}$ is

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Aicharya · Accepted Answer

The required angle $\begin{aligned} & 	heta=\cos ^{-1}\left(\frac{2 	imes 1+2 	imes 2+(-1) 	imes 2}{\sqrt{2^2+2^2+1^2} \cdot \sqrt{1^2+2^2+2^2}}ight) \ & \Rightarrow 	heta=\cos ^{-1}\left(\frac{4}{3 	imes 3}ight) \ & \Rightarrow 	heta=\cos ^{-1}\left(\frac{4}{9}ight)\end{aligned}$

The angle between two lines $\frac{x+1}{2}=\frac{y+3}{2}=\frac{z-4}{-1}$ and…

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