find the torque of a face 7i+3j+5k about the origin the force acting on a particle whose position vector i+j+k
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Answer:
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Explanation:
Here r=
i
^
−
j
^
+
k
^
and F=7
i
^
+3
j
^
−5k.
We shall use the determinant rule to find the torque τ=r×F
τ=
∣
∣
∣
∣
∣
∣
∣
∣
i
^
1
7
j
^
−1
3
k
^
1
−5
∣
∣
∣
∣
∣
∣
∣
∣
=(5−3)
i
^
−(−5−7)
j
^
+(3−(−7))
k
^
or τ=2
i
^
+12
j
^
+10
k
^
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