Find the torque of a force $\overrightarrow F = - 3\hat i + \hat j + 5\hat k$ acting at the point $\overrightarrow r = 7\hat i + 3\hat j + \hat k$
Find the torque of a force $\overrightarrow F = - 3\hat i + \hat j + 5\hat k$ acting at the point $\overrightarrow r = 7\hat i + 3\hat j + \hat k$
$14\hat i - 38\hat j + 16\hat k$
$4\hat i + 4\hat j + 6\hat k$
$21\hat i + 4\hat j + 4\hat k$
$ - 14\hat i + 34\hat j - 16\hat k$
Find the torque of a force $\overrightarrow F = - 3\hat i + \hat j + 5\hat k$ acting at the point $\overrightarrow r = 7\hat i + 3\hat j + \hat k$
$\vec \tau = \vec r \times \vec F = (7\hat i + 3\hat j + \hat k)\,( - 3\hat i + \hat j + 5\hat k)$
$\vec \tau = \,\left|{\begin{array}{*{20}{c}}{\hat i}&{\hat j}& {\hat k}\\7&3&1\\{ - 3}&1&5\end{array}} \right|$$ = 14\hat i - 38\hat j + 16\hat k$
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