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Question
The torque of the force F = (2^i - 3^j + 4^k) N acting at the point r = (3^i + 2^j + 3^k) m about the origin be
 
Options:
A .  6^i  - 6^j + 12^k 
B .  17^i  - 6^j - 13^k 
C .    -6^i  + 6^j - 12^k 
D .   -17^i  + 6^j + 13^k 
Answer: Option B
:
B
τ = τ × F=

^i^j^k323234


= [(2 × 4)-(3 × -3)]^i + (2 × 3)-(3 × 4)]^j + (3 × -3)-(2 × 2)]^k
= 17^i - 6^j - 13^k

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