Find the angle between the lines whose direction ratios are a, b, c and `b c , c a , a b`.

Explanation

To find the angle between the lines whose direction ratios are given as \( (a, b, c) \) and \( (bc, ca, ab) \), we can use the formula for the angle \( \theta \) between two lines in three-dimensional space. The formula is given by:

\[ \cos \theta = \frac{L_1 L_2 + M_1 M_2 + N_1 N_2}{\sqrt{L_1^2 + M_1^2 + N_1^2} \sqrt{L_2^2 + M_2^2 + N_2^2}} \]

Where \( (L_1, M_1, N_1) \) and \( (L_2, M_2, N_2) \) are the direction ratios of the two lines.

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