Why is it not necessary to follow the parallelogram rule when calculating the work of resultant force?

In senior high school mathematics, we know that in addition, the quantity following the "parallelogram rule" is only vector; scalar addition is the direct addition of numbers, and other rules cannot be used. Work is a quantity without direction (at most, it can only be said that "work done by components along a certain direction", and the total work is addition)
Work is not a vector, there is no direction, so there is no component

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