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Mathematics · JEE | THREE DIMENSIONAL GEOMETRY
हिन्दीThe acute angle between the lines whose direction ratios are proportional to \( (a, b, c) \) and \( (b-c, c-a, a-b) \) is:
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Correct answer · Option A
\( 90^\circ \)
Explanation
The dot product of the direction ratios is \( a(b-c) + b(c-a) + c(a-b) = ab - ac + bc - ba + ca - cb = 0 \). Since the dot product is zero, the lines are perpendicular, so the angle is \( 90^\circ \).
