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MAT 222 Vector Analysis

NCE2 levelSciences19 topics

MAT 222 covers 19 topics. StudyPath paces them into daily study sessions that finish before your exam date, with practice questions and worked answers for each one.

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Course outline

The topics this course covers, in teaching order.

  1. Representation of vectors in 1-3 Dimensions
  2. Equality of vectors, position vectors (explain using the model of space co-ordinate)
  3. Triangular, parallelogram and polygon laws of vector addition
  4. Resultant of vectors
  5. Associative law of vectors
  6. Negative and unit vectors
  7. Magnitude or length of a vector
  8. Commutative and distribution laws of vectors, Scalar or dot product of vectors
  9. The vector or cross product of two vectors
  10. The cosine of angles between two vectors
  11. Direction cosines
  12. Relations between dot product and component of work done in a force field
  13. Triple product of vectors
  14. Plane and space curves and their vector equations
  15. Vector differentiation
  16. The grad notation
  17. The del (or vector operator notation)
  18. The divergence of a curve vector and the divergence theorem
  19. Frener –Serret formulae for solution of problems

A sample from this course

One topic, as StudyPath teaches it.

Representation of vectors in 1-3 Dimensions

This topic covers how vectors are represented in one, two, and three dimensions using directed line segments, components, and standard unit vectors. For exams, you must be able to move confidently between geometric description and algebraic form, because most later vector operations depend on correct representation.

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