1. Vector is the element of vector space (or, in other words, the tensor of order 1). In physics it is common to represent a vector as an arrow. Thus, a vector can be described with two quantities: a length and a direction. Vectors might denote such quantities as displacements, velocities, forces, etc.
2. Scalar is the tensor of order 0. Unlike a vector, it can be characterized by only one quantity. For example, mass, temperature, gravitational constant - are all scalars.
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