A point mass has a velocity v = (1.0 m/s) i + (3.0 m/s) j, at a certain instant. At the same instant, it experiences a force F = - (2.0 N) i + (4.0 N) j + (5.0 N) k. i, j and k are unit vectors along x-, y-, and z- axis, respectively. The power delivered by the force, at that instant is:

Correct option is B

​$$\text{Given:} \\\text{Velocity, } \mathbf{v} = 1.0 \, \text{} \hat{i} + 3.0 \, \text{}\hat{j} \\\text{Force, } \mathbf{F} = (-2.0 \, \text{N}) \hat{i} + (4.0 \, \text{N}) \hat{j} + (5.0 \, \text{N}) \hat{k} \\\text{Power formula:} \\\text{The power delivered by the force is given by the dot product of the force and velocity vectors:} \\P = \mathbf{F} \cdot \mathbf{v} \\\text{Substitute the given values of force and velocity:} \\P = (-2.0 \times 1.0) + (4.0 \times 3.0) + (5.0 \times 0) \\\text{Step 1: Perform the calculations:} \\P = (-2.0) + (12.0) + 0 \\P = 10.0 \, \text{W}$$​​