If the position vectors of the vertices A , B and C of a ∆ A B C are respectively 4 \hat{i}+7 \hat{j}+8 \hat{k}, 2 \hat{i}+3 \hat{j}+4 \hat{k} and 2 \hat{i}+5 \hat{j}+7 \hat{k}, then the position vector of the point, where the bisector of \angle A meets B C is : [15 Apr 2018 Shift 2]

Correct Answer is : 13(6∧i+13∧j+18∧k)

\frac{1}{2}(4 \hat{ i }+8 \hat{ j }+11 \hat{ k })

\frac{1}{3}(6 \hat{i}+13 \hat{j}+18 \hat{k})

\frac{1}{4}(8 \hat{i}+14 \hat{j}+19 \hat{k})

\frac{1}{3}(6 \hat{i}+11 \hat{j}+15 \hat{k})

JEE Main 15 Apr 2018 Shift 2 Solved Paper

Section: Mathematics

Question : 68 of 90

Marks: +1, -0

If the position vectors of the vertices A,B and C of a ∆ABC are respectively 4

∧

and 2

∧

, then the position vector of the point, where the bisector of ∠A meets BC is :

[15 Apr 2018 Shift 2]

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