1.
A particle moves with a velocity v=5i3j+6km/s\mathbf{v} = 5\mathbf{i} - 3\mathbf{j} + 6\mathbf{k}\,\text{m/s} under the influence of a constant force F=10i+10j+20kN\mathbf{F} = 10\mathbf{i} + 10\mathbf{j} + 20\mathbf{k}\,\text{N}. The instantaneous power applied to the particle is