lesson
Parallel Vectors and Collinearity Proofs
Use scalar multiples a = k b and shared points to prove that vectors are parallel and three points are collinear.
Updated 1 month ago · 5 views
Premium Lesson
This lesson is part of a track
Public learning track
2D Vectors and Geometric Proofs
10 lessons
Goal
Master 2D vector notation, arithmetic operations, magnitude-direction conversions, position vectors, and planar geometric proofs.
10 lessons
0 of 10 done
- Vector Notation: Column Vectors and Basis VectorsUp next
- Vector Addition, Subtraction, and Scalar MultiplicationNot started yet
- Diagrammatic Vector Addition and Polygon LawsNot started yet
- Calculating Magnitude and Direction in Two DimensionsNot started yet
- Converting Between Component Form and Magnitude-Direction FormNot started yet
- Constructing and Using Unit Vectors in Two DimensionsNot started yet
- Position Vectors and Displacement Between Two PointsNot started yet
- Parallel Vectors and Collinearity ProofsYou are here
- Ratio Division of Line Segments Using VectorsNot started yet
- Geometric Proofs Using Vector MethodsNot started yet
Learning standards covered
J3General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, and understand their geometrical interpretations]
Open Global Standard:OGM.12.VEC.1OGM.13.VEC.1
J5General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Use vectors to solve problems in pure mathematics and in context, including forces] and kinematics
Open Global Standard:OGM.12.VEC.2OGM.13.VEC.2
OGM.12.VEC.1OGM.13.VEC.1OGM.12.VEC.2OGM.13.VEC.2