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A vector may be described as a quantity having both magnitude and direction. Geometrically a vector is represented by a directed line segment as shown in th adjacent figure. The direction is indicated by the length of the segment AB. A is called the initial point

A scalar is quantity, having magnitude only. In other words, a scalar is just a real number. Displacement, velocity, momentum, area are some examples of vectors while distance, spee, volume temperature are just scalars.


Vectors which are fully characterized by the magnitude and direction only are called free vectors and those are fully characterized by the magnitude, direction and also line of support are called line (or bound) vectors. Displacement, velocity are free vectors while force and moment of a force about a point are line vectors.


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CBSE Class 12 Maths Vector Algebra All Topic Notes CBSE Class 12 Maths All Chapters Notes