Question:medium
The angle between the lines $\dfrac{x-3}{-4} = \dfrac{y+2}{3} = \dfrac{z-1}{5}$ and $\dfrac{x-2}{2} = \dfrac{y-4}{1} = \dfrac{z+3}{3}$ is
The angle between the lines $\dfrac{x-3}{-4} = \dfrac{y+2}{3} = \dfrac{z-1}{5}$ and $\dfrac{x-2}{2} = \dfrac{y-4}{1} = \dfrac{z+3}{3}$ is
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Always take the absolute value of the dot product before dividing when computing the acute angle between two lines. This ensures $\theta \in [0°, 90°]$.
Updated On: Apr 25, 2026
- $\cos^{-1}\!\left(\dfrac{1}{3\sqrt{7}}\right)$
- $\cos^{-1}\!\left(\dfrac{\sqrt{2}}{1}\right)$
- $\cos^{-1}\!\left(\dfrac{2}{7}\right)$
- $\cos^{-1}\!\left(\dfrac{1}{2\sqrt{7}}\right)$
- $\cos^{-1}\!\left(\dfrac{1}{\sqrt{7}}\right)$
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The Correct Option is
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