Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

The position vector of a point R which divides the line joining two points P and Q whose position vectors are $\hat{i} + 2\hat{j} - \hat{k}$ and $-\hat{i} + \hat{j} + \hat{k}$ respectively in the ratio 2 : 1 externally is :

Options:

$-\frac{1}{3}\hat{i} +\frac{4}{3}\hat{j}+\frac{1}{3}\hat{k}$

$-3\hat{i}+3\hat{k}$

$3\hat{i}-3\hat{k}$

$\frac{1}{3}\hat{i} -\frac{4}{3}\hat{j}-\frac{1}{3}\hat{k}$

Correct Answer:

$-3\hat{i}+3\hat{k}$