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Converting Between Component Form and Magnitude-Direction Form

2D Vectors and Geometric Proofs
11th Grade·Math·UK A-Level
Updated 1 month ago · 6 views

Convert freely between component form (xi + yj) and magnitude-direction form (|v|, theta), including bearing navigation angles.

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2D Vectors and Geometric Proofs

11th Grade · Math · UK A-Level

10 lessons

Goal

Master 2D vector notation, arithmetic operations, magnitude-direction conversions, position vectors, and planar geometric proofs.

10 lessons
0 of 10 done
  1. Vector Notation: Column Vectors and Basis VectorsUp next
  2. Vector Addition, Subtraction, and Scalar MultiplicationNot started yet
  3. Diagrammatic Vector Addition and Polygon LawsNot started yet
  4. Calculating Magnitude and Direction in Two DimensionsNot started yet
  5. Converting Between Component Form and Magnitude-Direction FormYou are here
  6. Constructing and Using Unit Vectors in Two DimensionsNot started yet
  7. Position Vectors and Displacement Between Two PointsNot started yet
  8. Parallel Vectors and Collinearity ProofsNot started yet
  9. Ratio Division of Line Segments Using VectorsNot started yet
  10. Geometric Proofs Using Vector MethodsNot started yet
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Learning standards covered

gbJ2General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade

[Calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form]

Open Global Standard:OGM.12.VEC.1OGM.13.VEC.1
GlobalOGM.12.VEC.1
GlobalOGM.13.VEC.1