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Temperature is a scalar but temperature gradient is a vector, as gradient of any scalar quantity is a Vector. A body's velocity is a vector since it has both magnitude and direction, but light velocity is a scalar since the vector addition rule is not constant for light velocity. A charged body's electrical intensity is nothing but electrical field intensity and its direction is determined by the direction of force that will result in a unit positive test charge due to that body.

Electrical current density is current perpendicularly going through a unit cross-section field; the current density direction is along the current direction.