Question

plzz answer this question...​

Answer 1

$\displaystyle\large\boxed {\sf {W=0\ J}}$

The force vector acting on the body,

$\displaystyle\longrightarrow\sf{\vec F=(\hat i+2\hat j+3\hat k)\ N}$

The displacement vector,

$\displaystyle\longrightarrow\sf{\vec s=[(4\hat i+2\hat j+\hat k)-(3\hat i+\hat j+2\hat k)]\ m}$

$\displaystyle\longrightarrow\sf{\vec s=(\hat i+\hat j-\hat k)\ m}$

Then, work done by the force $\displaystyle\sf {\vec F}$ on the body is,

$\displaystyle\longrightarrow\sf{W=\vec F\cdot\vec s}$

$\displaystyle\longrightarrow\sf{W=[(\hat i+2\hat j+3\hat k)\cdot(\hat i+\hat j-\hat k)]\ J}$

$\displaystyle\longrightarrow\sf{W=(1\cdot1 +2\cdot1+3\cdot-1)\ J}$

$\displaystyle\longrightarrow\sf {\underline {\underline {W=0\ J}}}$