Choose the correct answer from the given four options. The vector… - Vidyadip

MCQ

Choose the correct answer from the given four options. The vector having initial and terminal points as $(2, 5, 0)$ and $(–3, 7, 4),$ respectively is :

A
$-\hat{\text{i}}+12\hat{\text{j}}+4\hat{\text{k}}$
B
$-5\hat{\text{i}}+2\hat{\text{j}}-4\hat{\text{k}}$
✓
$-5\hat{\text{i}}+2\hat{\text{j}}+4\hat{\text{k}}$
D
$\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}$

✓

Answer

Correct option: C.

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

Given points are $(2, 5, 0)$ and $(–3, 7, 4).$
Thus, the required vector $=(-3-2)\hat{\text{i}}+(7-5)\hat{\text{j}}+(4-0)\hat{\text{k}}$
$=-5\hat{\text{i}}+2\hat{\text{j}}+4\hat{\text{k}}$

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