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IF the direction ratios of two vectors a...

IF the direction ratios of two vectors are connected by the relations `p + q + r = 0` and `p^(2) + q^(2) - r^(2) = 0.` Find the angle between them.

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To find the angle between two vectors whose direction ratios are connected by the equations \( p + q + r = 0 \) and \( p^2 + q^2 - r^2 = 0 \), we can follow these steps: ### Step 1: Express \( p \) in terms of \( q \) and \( r \) From the first equation: \[ p + q + r = 0 \implies p = -q - r \] ...
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