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Work is the product of a force a

nd a displacement. Both of those are vectors.

There are two ways to multiply vectors. One of them produces another vector,

the other produces a scalar. The calculation for 'work' uses the scalar product.

The procedure is:

(magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them).

Answer2:

Work is a scalar because Physics has a major defect in defining energy as a scalar.

Nature defines energy as a Quaternion, the sum of a scalar and a vector.

Work is a Quaternion, W = FD= -F.D + FxD , -F.D is a scalar and FxD is a vector.

Physics defines Work as -FDcos(FD) and defines FxD = FDsin(FD) as Torque.

When Physics understands Nature and Quaternions, then both F.D and FXD will both be recognized as energy, scalar energy and vector energy.

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