Can someone help me with this, - Work Energy and Power

A force $\vec{F}= \left ( 5\hat{i} +3\hat{j}+2\hat{k}\right )N$ is applied over a particle which displaces it from its origin to the point $\vec{r}= \left ( 2\hat{i} -\hat{j}\right )m$ The work done on the particle in joule is

Option 1) $-7$	Option 2) $+7$
Option 3) $+10$	Option 4) $+13$

Answers (2)

P perimeter

$\vec{F}=(5\widehat{i}+3\widehat{j}+2\widehat{k})N$

$\Delta\vec{R}=(2\widehat{i}-\widehat{j})m$

Work done $=\vec{F}.\Delta\vec{r}$

$=(5\widehat{i}+3\widehat{j}+2\widehat{k}).()2\widehat{i}-\widehat{j})=7J$

Correct asnswer is 2

Option 1)

$-7$

This is an incorrect option.

Option 2)

$+7$

This is the correct option.

Option 3)

$+10$

This is an incorrect option.

Option 4)

$+13$

This is an incorrect option.

N neha

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A force is applied over a particle which displaces it from its origin to the point The work done on the particle in joule is Option 1) Option 2) Option 3) Option 4)

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A force $\vec{F}= \left ( 5\hat{i} +3\hat{j}+2\hat{k}\right )N$ is applied over a particle which displaces it from its origin to the point $\vec{r}= \left ( 2\hat{i} -\hat{j}\right )m$ The work done on the particle in joule is

Option 1)
$-7$
Option 2)
$+7$

Option 3)
$+10$
Option 4)
$+13$