Mathematics · 2018
JEE Main · 15 April 2018, Shift 2 · Q85
If the position vectors of the vertices A, B and C of a A B C are respectively 4 i +7 j +8 k, 2 i +3 j +4 k and 2 i +5 j +7 k, then the position…
If the position vectors of the vertices $\displaystyle \mathrm{A}, \mathrm{B}$ and $\displaystyle C$ of a $\displaystyle \triangle A B C$ are respectively $\displaystyle 4 \hat{i}+7 \hat{j}+8 \hat{k}, 2 \hat{i}+3 \hat{j}+4 \hat{k}$ and $\displaystyle 2 \hat{i}+5 \hat{j}+7 \hat{k}$, then the position vector of the point, where the bisector of $\displaystyle \angle \mathrm{A}$ meets BC is :
Official answer
(3)
$\displaystyle \frac{1}{3}(6 \hat{i}+13 \hat{j}+18 \hat{k})$
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JEE Main 2018 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.