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A force \(\vec{\mathrm{F}}=2\hat{\mathrm{i}}+\hat{\mathrm{j}}+2\hat{\mathrm{k}}\text{ N}\) is acting at a point \((1,1,1…

Q1
PYQ

A force \(\vec{\mathrm{F}}=2\hat{\mathrm{i}}+\hat{\mathrm{j}}+2\hat{\mathrm{k}}\text{ N}\) is acting at a point \((1,1,1)\). Find the torque of this force about the origin \((0,0,0)\).

(Shift II Memory Based)

a

\(\overset{⃗}{\tau }=\hat{i}−\hat{k}\)

b

\(\overset{⃗}{\tau }=3\hat{i}−\hat{j}−\hat{k}\)

c

\(\overset{⃗}{\tau }=\hat{i}+\hat{j}+2\hat{k}\)

d

\(\overset{⃗}{\tau }=3\hat{i}+\hat{j}−3\hat{k}\)

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