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Q.

Find the torque of a force F = -3 i^ + j^ + 5k^ acting at the point r = 7 i^ + 3 j^+ k^

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a

14i^ -38 j^ + 16 k^

b

4i^+4j^+6k^

c

-21i^+ 4j^ + 4k^

d

-14i^+34j^-16k^

answer is A.

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Detailed Solution

τ→=r×F=ijk731−315= i [3 x 5 -1 x 1] + j [1 x (-3) -7x 5] +k[7 x 1-3(-3)]=14i^-38j^+16k^
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Find the torque of a force F = -3 i^ + j^ + 5k^ acting at the point r = 7 i^ + 3 j^+ k^