Can any scalar quantity be a valid vector by adding direction?
There are scalar quantities which do not have direction involved with it. Example quantity of heat, energy work done, temperatures, power etc. We cannot add direction and hence cannot be converted into vectors. But vector quantities have both magnitude and direction and the magnitude part is also called as scalars. To such scalar quantities if we assign direction then they are called vectors. A.B is called scalar product. A and B are vectors but the product is a scalar and we cannot add direction to the product and make it as a vector. Vector is different from a scalar. Ans stickily speaking the magnitude of a vector should be called as a magnitude and not a scalar to avoid confusion. ================================= In short , both a vector and a scalar quantity has magnitude. Vector has mainly direction and along with it a magnitude. Scalar has only magnitude and no direction. One cannot add a direction to the scalar to make it a vector.