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The position vectors of vertices of △ ABC are A(2î – ĵ + k̂), B(î – 3ĵ – 5k̂) and C(3î – 4ĵ – 4k̂). Find all the angles of △ ABC.
The value of λ for which the angle between the lines r→ = î + ĵ + k̂ + p(2î + ĵ + 2k̂) and r→ = (1 + q)î + (1 + qλ)ĵ + (1 + q)k̂ is π/2 is :
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