## VECTOR ALGEBRA

 Definition of  Vectors and scalars, magnitude and direction of a vector Definition of  Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of Vectors Direction   angles,   direction   cosines, direction ratios, relation between direction ratio and direction cosines. Problems. Types of vectors :Equal, unit, zero, parallel and collinear vectors, coplanar vector position vector of a point, negative of a vector. Components of a Vector Components of a Vector. Algebra of Vectors Multiplication of a vector by a scalar  addition of vectors ,triangle  law,  parallelogram  law,  properties of addition of vectors,   position vector of a point dividing a line segment in a given ratio(section formula). Scalar (dot) product of Vectors Definition,  properties, problems                                              projection of a vector on a line . Vector (cross) product of Vectors Definition, properties and problems. Scalar triple product Definition, properties and problems.