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.