Find the torque of a force 7hati + 3hatj – 5hatkabout the origin. The force acts on a particle whose position vector is hati – hatj + hatk.

Find the torque of a force 7hati + 3hatj – 5hatkabout the origin. Th

1.	Find the torque of a force 7hati + 3hatj – 5hatkabout the origin. The force acts on a particle whose position vector is hati – hatj + hatk.
Answer» <html><body><p></p>Solution :Here `r=<a href="https://interviewquestions.tuteehub.com/tag/hati-2693493" style="font-weight:bold;" target="_blank" title="Click to know more about HATI">HATI</a>-hatj+hatk` <br/> and `F=7hati+3hatj-5hatk` <br/> We <a href="https://interviewquestions.tuteehub.com/tag/shall-641229" style="font-weight:bold;" target="_blank" title="Click to know more about SHALL">SHALL</a> use the determinant rule to <a href="https://interviewquestions.tuteehub.com/tag/find-11616" style="font-weight:bold;" target="_blank" title="Click to know more about FIND">FIND</a> the torque `tau=rxxF` <br/> `tau=\|(hati,hatj,hatk),(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>,-1,1),(7,<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>,-5)\|=(5-3)hati-(-5-7)hatj+(3-(-7))hatk` <br/> or `tau=2hati+12hatj+10hatk`</body></html>