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+4 votes
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in Physics by (79.3k points)
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Find the torque of a force vector F = -3i + j + 5k  acting at the point vector r = 7i +3j + k.

2 Answers

+3 votes
by (17.0k points)
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Best answer

Correct option is (c) \( 14\hat i - 38\hat j + 16\hat k\)

\(\vec \tau = \vec r \times \vec F\)

\(= (7\hat i + 3\hat j + \hat k)(-3\hat i + \hat j + 5\hat k)\)

\(\vec \tau =\begin{vmatrix}\hat i&\hat j & \hat k\\7&3&1\\-3&1&5\end{vmatrix}\)

\(= 14\hat i - 38\hat j + 16\hat k\)

+5 votes
by (76.4k points)

Correct option (c)

Explanation:

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