The time dependence of the position of a particle of mass \( \mathr...

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The time dependence of the position of a particle of mass
\( \mathrm{P} \) \( \mathrm{m}=2 \) is given by \( \overrightarrow{\mathrm{r}}(\mathrm{t})=2 \mathrm{t} \hat{\mathrm{i}}-3 \mathrm{t}^{2} \hat{\mathrm{j}} \). Its angular momentum,

W. with respect to the origin, at time \( t=2 \) is :
[JEE Main-2019 (April)]
(a) \( 36 \hat{\mathrm{k}} \)
(b) \( -34(\hat{\mathrm{k}}-\hat{\mathrm{i}}) \)
(c) \( 48(\hat{i}+\hat{j}) \)
(d) \( -48 \hat{\mathrm{k}} \)
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