MathematicsHard202×since 2002Q5688If the position vectors of the vertices A, B and C of a Δ\DeltaΔ ABC are respectively 4i^+7j^+8k^,4\widehat i + 7\widehat j + 8\widehat k,4i+7j+8k, 2i^+3j^+4k^,2\widehat i + 3\widehat j + 4\widehat k,2i+3j+4k, and 2i^+5j^+7k^,2\widehat i + 5\widehat j + 7\widehat k,2i+5j+7k, then the position vectors of the point, where the bisector of ∠\angle∠A meets BC is :A12(4i^+8j^+11k^){1 \over 2}\left( {4\widehat i + 8\widehat j + 11\widehat k} \right)21(4i+8j+11k)B13(6i^+11j^+15k^){1 \over 3}\left( {6\widehat i + 11\widehat j + 15\widehat k} \right)31(6i+11j+15k)C13(6i^+13j^+18k^){1 \over 3}\left( {6\widehat i + 13\widehat j + 18\widehat k} \right)31(6i+13j+18k)D14(8i^+14j^+19k^){1 \over 4}\left( {8\widehat i + 14\widehat j + 19\widehat k} \right)41(8i+14j+19k)Check answerSkip