You'll need to provide a context. In naval engineering, displacement is a scalar quantity; if you're talking about motion, then it's a vector quantity.
Displacement indicates a vector quantity, including angular displacement. The angular displacement is either clockwise or counter clockwise and the direction makes a difference. Angular distance...
Work is the product of a force and 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...
(vector) times (vector) produces either a vector or a scalar, depending onwhether the vector product or scalar product is performed.(vector) times (scalar) produces a new vector.