The torque of the force $\overrightarrow F = (2\hat i - 3\hat j + 4\hat k\,)N$ acting at the point $\overrightarrow {r\,} = (3\hat i + 2\hat j + 3\hat k)\,m$ about the origin be
The torque of the force $\overrightarrow F = (2\hat i - 3\hat j + 4\hat k\,)N$ acting at the point $\overrightarrow {r\,} = (3\hat i + 2\hat j + 3\hat k)\,m$ about the origin be
$6\hat i - 6\hat j + 12\hat k$
$17\hat i - 6\hat j - 13\hat k$
$ - 6\hat i + 6\hat j - 12\hat k$
$ - 17\hat i + 6\hat j + 13\hat k$
The torque of the force $\overrightarrow F = (2\hat i - 3\hat j + 4\hat k\,)N$ acting at the point $\overrightarrow {r\,} = (3\hat i + 2\hat j + 3\hat k)\,m$ about the origin be
$\overrightarrow \tau = \overrightarrow {r\,} \times \overrightarrow F $ $ = \left| {\begin{array}{*{20}{c}}{\hat i\,\,}&{\hat j\,\,}&{\hat k}\\{\,3\,\,\,}&{\,\,2\,\,\,\,\,}&3\\{\,2\,\,\,}&{ - 3\,\,\,\,\,\,}&{\,\,4\,\,}\end{array}} \right|\,$
$ = \left[ {(2 \times 4) - (3 \times - 3)} \right]\,\,\hat i + \left[ {(2 \times 3) - (3 \times 4)} \right]\,\hat j + \left[ {(3 \times - 3) - (2 \times 2)} \right]\,\hat k$
$ = 17\,\hat i - 6\,\hat j - 13\,\hat k$
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