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Find the angle between the lines whose direction ratios are a, b, c and b − c, c − a, a − b. - Mathematics

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प्रश्न

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

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उत्तर

the angle between the given lines is given by

cos θ = `(a(b - c) + b(c - a) + c(a - b))/(sqrt(a^2 + b^2 + c^2). sqrt((a - b)^2 + (b - c)^2 + (c - a)^2)`

cos θ = 0

⇒ Hence, θ = 90°

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पाठ 11: Three Dimensional Geometry - Exercise 11.4 [पृष्ठ ४९८]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
पाठ 11 Three Dimensional Geometry
Exercise 11.4 | Q 3 | पृष्ठ ४९८

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