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. |