A particle moves with velocity $v= (5 \hat i -3 \hat j+6 \hat k) m/s$ under the influence of a constant force $\hat F=(10 \hat i+10 \hat j+20 \hat k)N$. The instantaneous power applied to the particle is

Question

$$(a)\;200\;J/s \quad (b)\;140\;J/s \quad (c)\; 40\;J/s \quad (d)\;170 J/s$$