A particle of mass $1.00 \mathrm{~kg}$ is moving with velocity $\vec{v}=(7.0 \mathrm{i}+6.0 \mathrm{j}) \mathrm{m} / \mathrm{s} . \quad(a)$ Find the angular momentum
1. relative to the origin when the particle is at $\overrightarrow{\mathbf{r}}=(2.0 \mathbf{j}+4.0 \mathbf{k}) \mathrm{m}$
(b) At position $\overrightarrow{\mathbf{r}}$ a force of $\mathbf{F}=4.0 \mathrm{Ni}$ is applied to the particle. Find the torque relative to the origin.