Find the moment about the point $i + 2 j + 3 k$ of a force represented by $i + j + k$ acting through the point $- 2 i + 3 k + k .$

i + 2 j - 3 k .

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- i - 2 j + 3 k .

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3 i + j - 4 k .

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- 3 i - j + 4 k .

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Solution

The correct option is C $3 i + j - 4 k .$
Moment $= - \to F \times \to r = (- i - j - k) \times (- 2 i + 3 j + k - i - 2 j - 3 k) = 3 i + j - 4 k$

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