The correct option is B +7 J
Particle's initial position, →ri=(0^i+0^j) m
Particle's final position, →rf=(2^i−^j) m
Hence displacement of particle is given by,
→S=→rf−→ri
⇒→S=(2^i−^j)−(0^i+0^j)=(2^i−^j) m
Hence workdone by force is:
W=→F.→S
W=(5^i+3^j+2^k).(2^i−^j)
W=(5×2)+(3×(−1))+(2×0)
∴W=10−3=7 J