A force F =(6hati +2hatj -3hatk)acts on a particle and produces a displacement of vecs = (2hati-3hatj+xhatk). If work done is zero, the value of x is

A force F =(6hati +2hatj -3hatk)acts on a particle and produces a disp

1.	A force F =(6hati +2hatj -3hatk)acts on a particle and produces a displacement of vecs = (2hati-3hatj+xhatk). If work done is zero, the value of x is
Answer» <html><body><p>`-2`<br/> `1/2`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a>`<br/>`2` </p>Solution :`W = vecF. Vecs = (6 hati + 2 hatj - 3hatk).(2 hati - <a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a> hati + <a href="https://interviewquestions.tuteehub.com/tag/xhatk-3292300" style="font-weight:bold;" target="_blank" title="Click to know more about XHATK">XHATK</a>)` <br/> `= <a href="https://interviewquestions.tuteehub.com/tag/12-269062" style="font-weight:bold;" target="_blank" title="Click to know more about 12">12</a> - 6 - <a href="https://interviewquestions.tuteehub.com/tag/3x-310805" style="font-weight:bold;" target="_blank" title="Click to know more about 3X">3X</a>` <br/> As W = 0 (Given) <br/> `:.` 12 - 6 - 3x= 0 or x = 2`.</body></html>