Vectors

COURSE DESCRIPTION

• Vector
  • Geometrical interpretation of vector
  • Multiplication of vector by a scalar
  • Addition and subtraction of two vectors
  • Position vector
  • Vectors in a plane
  • Properties of magnitude of a vector
  • Another notation for representing vector in plane
  • A unit vector in the direction of another given vector
  • The ratio formula
  • Vector geometry
• Introduction of vectors in space
  • Concept of vectors in space
  • Properties of vectors
  • Another notation for representing vectors in space
  • Distance between two points in space
  • Direction angles and direction cosines of a vector
• The scalar product of two vectors
  • Deduction of important results
  • Perpendicular vectors
  • Properties of dot product
  • Analytical expression of Dot product
  • Angle between two vectors
  • Projection of one vector upon another vector
• The cross product or vector product of two vectors
  • Derivation of useful results of cross product
  • Properties of cross product
  • Parallel vectors
  • Area of parallelogram
  • Area of triangle
• Scalar triple product of vectors
  • Analytical expression
  • Volume of parallelepoid
  • Volume of tetrahedron
• Application of vectors in physics and engineering
• All examples, exercises and MCQ’s
• Conceptual overview of all the above topics
• Application and conceptual base quiz of students which consist of short questions, MCQS and Long questions.

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