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Find the acute angle between the lines (...

Find the acute angle between the lines `(x-4)/(3)=(y+3)/(4)=(z+1)/(5) " and" (x-1)/(4)=(y+1)/(-3)=(z+10)/(5)`

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To find the acute angle between the two lines given by their symmetric equations, we can follow these steps: ### Step 1: Identify Direction Ratios The lines are given in symmetric form: 1. Line 1: \(\frac{x-4}{3} = \frac{y+3}{4} = \frac{z+1}{5}\) 2. Line 2: \(\frac{x-1}{4} = \frac{y+1}{-3} = \frac{z+10}{5}\) From these equations, we can extract the direction ratios: ...
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