Vector quantities have both magnitude and direction, exemplified by acceleration and velocity, whereas scalar quantities, such as mass and speed, have only magnitude. Derived quantities, such as force and work, originate from fundamental quantities like mass and length. Work, resulting from the dot product of force and displacement, is scalar, showcasing magnitude without direction. Fundamental quantities, including length and temperature, form the basis of physical measurements, with temperature indicating an object’s hotness or coldness in Kelvin. Scalars lack direction, differentiating them from vectors which are characterized by both magnitude and direction.