In article , Gary Coffman says...

... Kinetic energy also has the units of work, but a
body with kinetic energy most certainly has a direction, so
is it vector or scalar?

The velocity is defined as a vector.

The Ek is a scalar. The V(vector) times V(vector) in
1/2 mV(sq) is a dot product.

Kinetic energy of a moving object and the work
done to produce that motion are defined as the
same thing - and yes the units are the same
as they should be. This comes under the general
heading of 'conservation of energy.'

Sure there are other hidden, parasitic losses, friction,
etc, but when you account for them all, the
balance sheet works out.

Jim

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