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What is the moment about the point i + 2j - k of a force represented by 3i + k acting through the point 2i - j + 3k?

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What is the moment about the point i + 2j - k of a force represented by 3i + k acting through the point 2i - j + 3k?

a. - 3i + 11j + 9k 

b. 3i + 2j + 9k 

c. 3i + 4j + 9k 

d. i + j + k 

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1 Answer

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Best answer

Correct option a. - 3i + 11j + 9k

Explanation:

vector r = (2i - j + 3k) - (i + 2j - k)

= i - 3j + 4k

vector τ = r x F = (i- 3j + 4k) x (3i + k)

= - 3i + 11j + 9k 

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