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Q.

The torque of a force  F=2i^3j^+5k^  acting at a point whose position vector  r=3i^3j^+5k^  about the origin is 

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a

5j^+3k^

b

3i^+5k^

c

3i^5j^+3k^

d

5j^-3k^

answer is C.

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Detailed Solution

detailed_solution_thumbnail

We know that, torque, τ=r×F

Given,  F=2i^3j^+5k^

  r=3i^3j^+5k^

Now,   τ=i^j^k^335235

τ=(15+15) i ^(1510) j ^(9+6)k^

τ=05j^3k^

 τ=5j^3k^

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