Definition and representation of vector (Class – 11)
Scalar: The quantities which are represented by magnitude and have no directions and follow the ordinary algebra are called scalar quantity. Example: mass, volume, speed, density etc.
Vector: The quantities which are represented by magnitude and directions and follow a special type of algebra (vector algebra) are called vector quantity. Example: velocity, acceleration, force etc.
Representation of a vector: A vector can be represented by joining two points with an arrow. 
represents a vector where point A is the initial point or origin and point B represents the terminal point. Arrow is directed from origin to terminal point. Let us consider, is 
and the magnitude of 
is || = || = P = AB.
Angle between two vectors: When two vectors have common origin then the smaller angle created by two vectors is known as angle of vector. When the initial point of one vector coincides with the terminal of another, then the angle between vectors is created by increasing the initial vector to make common origin.
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