Let O be the origin and the position vectors of A and B be 2i + 2… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 29 January, Shift 1Basics of Vectors

Let O be the origin and the position vectors of A and B be $2\hat{i} + 2\hat{j} + \hat{k}$ and $2\hat{i} + 4\hat{j} + 4\hat{k}$ , respectively. If the internal bisector of $\angle AOB$ meets the line AB at C, then the length of OC is:

A
$\frac{2}{3}\sqrt{31}$
B
$\frac{2}{3}\sqrt{34}$
C
$\frac{3}{4}\sqrt{34}$
D
$\frac{3}{2}\sqrt{31}$

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