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Download previous year solved papers Mathematics

The Concept
Linear Combination of Vectors
Collinear and Non-collinear Vectors
Components of a Vector
Components of a Vector in Three Dimensions
Position vectors of a point in space
Scalar or Dot Product
Properties of the Scalar Product
Vector of Cross Product
Properties of the Vector Product
Scalar Triple product
Geometrical Interpretation of Scalar Triple Product

Vectors constitute one of the several mathematical systems which can be used to handle certain types of problems in geometry, mechanics and other branches of applied mathematics.

A vector is a quantity having both magnitude and direction, such as displacement, velocity, force and acceleration. Any portion of a straight line, where the two end-points are distinguished as initial and terminal, is called a directed line segment. The directed line segment with initial point *A* and terminal point *B* is denoted by the symbol or **AB**. Graphically, a *vector* is represented by a directed line segment. Analytically, it is represented by a letter with an arrow over it, as in , or in bold type, as in ** a**. A scalar is a quantity having magnitude only but no direction, such as mass, length, time, temperature and any real number. A vector whose initial and terminal points are the same is called a zero vector,

The position vector ** r** of any point

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