JEEA-17 — JEE Advanced Math — Vector Algebra

JEE Advanced Math — Vector Algebra

Vector algebra for JEE Advanced aspirants.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Analyze linear dependence of vectors and determine bases for spans in 2D and 3D [Analyze]
  2. Derive identities involving scalar and vector triple products and apply them to geometric problems [Create]
  3. Evaluate reciprocal vector systems and apply them in oblique coordinate computations [Evaluate]
  4. Solve vector equations involving cross products and dot products [Apply]
  5. Investigate properties of tetrahedra — volume, centroid, perpendicularity — using vectors [Analyze]
  6. Solve JEE Advanced paragraph and integer problems on vectors [Evaluate]

📚 Chapters

  1. Vectors and Linear Combinations
  2. Linear Dependence and Independence
  3. Dot Product and Applications
  4. Cross Product and Applications
  5. Scalar Triple Product
  6. Vector Triple Product
  7. Reciprocal Vectors
  8. Vector Equations
  9. Vectors in Geometry — Triangles, Tetrahedra
  10. Mixed Advanced Problems

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