Aspire Faculty ID #18373 · Topic: AMU MCA 2016 · Just now
AMU MCA 2016

The angle between the lines with direction ratios $(4,-3,5)$ and $(3,4,5)$ is

Solution

$\cos\theta = \frac{4\cdot3 + (-3)\cdot4 + 5\cdot5}{\sqrt{50}\sqrt{50}} = \frac{25}{50} = \frac{1}{2}$ $\theta = \frac{\pi}{3}$ Final Answer: $\boxed{\frac{\pi}{3}}$
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