Find the work done by a force that is given by the vector ⟨2, 6⟩ in moving an object in a straight line from point R(–3, 2) to point S(9, 7). Assume that the units in the coordinate plane are meters.

The displacement from R(−3, 2) to S(9, 7) is ⟨9 − (−3), 7 − 2⟩ = ⟨12, 5⟩ meters. Work is the dot product of force and displacement: ⟨2, 6⟩ · ⟨12, 5⟩ = 2(12) + 6(5) = 54 joules, so the correct choice is 54 Joules.

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