B.Sc Math Vectors Ch 1 (Vector) Helping Notes

A First Course on Vectors (B.A / B.Sc.)

Chapter:1 (Vector)

In this chapter, we will study the following topics:

  • introduction
  • magnitudes and directions
  • parallelogram law of addition
  • temperature, energy and mass
  • applicability of addition law
  • tip of the vector
  • definition of the vector
  • components of a vector
  • direction cosines of a vector
  • physical vectors
  • rectangular frame of reference
  • direction ratios
  • directed segments
  • free vector
  • sliding vector
  • parallel plane
  • triangle law for the composition of vectors
  • the unit vectors
  • the unit coordinate vector
  • the length and directions cosines of vectors
  • the scalar product
  • the vector product
  • physical interpretation of cross product
  • area of parallelogram
  • products involving three or more vectors
  • left-handed triad

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