A particle is shifted from A to B and then from B to C where A, B and C are the midpoints of the corresponding faces of a cube of side 2m. If a force $F = (3 \hat{i} + 4 \hat{j} - 5 \hat{k}) N$ is continuously acting on the particle, then select correct alternative is

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OA = i ^ + k ^ , OB = 2 i ^ + j ^ ​ + k ^ , OC = i ^ + 2 j ^ ​ + k ^ ⇒ AB = OB − OA = i ^ + j ^ ​ , BC = OC − OB = j ^ ​ − i ^ , AC = OC − OA = 2 j ^ ​ A constant force is always a conservative force.

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