Target Exam

CUET

Subject

Section B1

Chapter

Vectors

Question:

The vector having initial and terminal points as $(2, 5, 0)$ and $(-3, 7, 4)$, respectively is

Options:

$-\hat{i} + 12\hat{j} + 4\hat{k}$

$5\hat{i} + 2\hat{j} - 4\hat{k}$

$-5\hat{i} + 2\hat{j} + 4\hat{k}$

$\hat{i} + \hat{j} + \hat{k}$

Correct Answer:

$-5\hat{i} + 2\hat{j} + 4\hat{k}$

Explanation:

The correct answer is Option (3) → $-5\hat{i} + 2\hat{j} + 4\hat{k}$ ##

Required vector $= (-3 - 2)\hat{i} + (7 - 5)\hat{j} + (4 - 0)\hat{k}$

$[\text{Position vector} = \text{PV of terminal point} - \text{PV of initial point}]$

$= -5\hat{i} + 2\hat{j} + 4\hat{k}$