The distance between the lines $\frac{x}{2}=\frac{y}{-1}=\frac{z}{2}$ and $\frac{x-1}{2}=\frac{y-1}{-1}=\frac{z-2}{2}$ is

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Aicharya · Accepted Answer

Distance between the liens $=\frac{\left|\begin{array}{ccc}\hat{i} & \hat{j} & \hat{k} \ 1-0 & 1-0 & 1-0 \ 2 & -1 & 2\end{array}ight|}{\sqrt{2^2+(-1)^2+2^2}}$ $=\frac{|3 \hat{i}-3 \hat{k}|}{\sqrt{9}}=\frac{\sqrt{3^2+3^2}}{3}=\sqrt{2}$

The distance between the lines $\frac{x}{2}=\frac{y}{-1}=\frac{z}{2}$ and…

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