Toppers Notes on Vectors

Below you will get an embedded PDF file of the topic “toppers notes on Vectors for jee main & Advanced”, where you have the facility to read, download, or print the document at your convenience. You can take the help of these short notes for the preparation of All India engineering examinations like JEE Main & JEE Advanced. In fact, these notes are helpful to crack any entrance exam in which the mathematics up to 12th class is asked. 

Table of Content

  • Definition of vectors.
  • Representation and notation of vectors.
  • Modulus or magnitude of a vector.
  • Multiplication of a vector by a scalar.
  • Equal vectors, Unit vectors, Null or zero vectors.
  • Collinear or parallel vectors.
  • Like and unlike vectors.
  • The angle between the two vectors.
  • Addition and properties of the addition of vectors.
  • The position vector of a point.
  • Component of a vector in three dimensions.
  • Section formula of vectors.
  • Linearly dependent and independent of the vectors.
  • Collinearity of three points.
  • Test of collinearity.
  • Coplanarity of four points.
  • Test of coplanarity.
  • Scalar product and properties of the scalar product.
  • Cross product or vector product and properties of the cross product.
  • Scalar triple product and properties of the scalar triple product.
  • Vector triple product and properties of the vector triple product.
  • Reciprocal system of vectors and properties of the Reciprocal System of vectors.
  • Application of the vectors in coordinate geometry.