The torque due to the force ( 2 i ^ + j ^ + 2 k ^ ) about the origin, acting on a particle whose position vector is ( i ^ + j ^ + k ^ ) , would be

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The torque due to the force ( 2 i ^ + j ^ ​ + 2 k ^ ) about the origin, acting on a particle whose position vector is ( i ^ + j ^ ​ + k ^ ) , would be

TestHub · Accepted Answer

τ τ τ ​ = r ˙ × F ˙ = ​ i ^ 1 2 ​ j ^ ​ 1 1 ​ k ^ 1 2 ​ ​ = i ^ ( 2 − 1 ) − j ^ ​ [ 0 ] + k ^ ( 1 − 2 ) = i ^ − k ^ ​

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