MathsNet: V - Vectors - Equations of lines

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AAlgebra, Algebra and Functions, Algorithms, Algorithms on graphs, Applications, Applications of the integrals, Area, Areas, Areas Related to Circles, Arithmetic, Arithmetic Progressions, Algebraic Expressions

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TTransformations, Travelling salesman problem, Triangles, Trigonometry

UUpper and lower bounds, Using a calculator

VVectors

WWork and Energy

MAPSelect Using the Interactive Map

Awarding Bodies

Page ID: 1156

V | Vectors | 2D Vector geometry | «Equations of lines»

The vector equation of the blue line through AB is given by: r = a + tb

Software/Applets used on this page

Cabri

Uses the CabriJava interactive geometry applet. You can download the file by double-clicking on the display and then selecting the option at bottom right. You can then load it into your copy of Cabri.

Glossary

equation

A statement that two mathematical expressions are equal.

vector

A mathematical object with magnitude and direction.

Full Glossary List

This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AQA A-Level (UK - Pre-2017)	C4	Vectors	2D Vector geometry	-
CBSE XII (India)	Vectors and 3-D Geometry	Vectors	Vectors and scalars, magnitude and direction of a vector	-
CCEA A-Level (NI)	C4	Vectors	2D Vector geometry	-
CIE A-Level (UK)	P1	Vectors	2D Vector geometry	-
Edexcel A-Level (UK - Pre-2017)	C4	Vectors	2D Vector geometry	-
Edexcel AS Further Maths 2017	Core Pure Maths	Vectors	Vector Algebra	-
Edexcel AS/A2 Further Maths 2017	Core Pure Maths	Vectors	Vector Algebra	-
I.B. Higher Level	4	Vectors	2D Vector geometry	-
I.B. Standard Level	4	Vectors	2D Vector geometry	-
Methods (UK)	M4	Vectors	2D Vector geometry	-
OCR A-Level (UK - Pre-2017)	C4	Vectors	2D Vector geometry	-
OCR AS Further Maths 2017	Pure Core	Vectors	Vector Algebra	-
OCR MEI AS Further Maths 2017	Core Pure A	Vectors and 3-D Space	Vector Algebra	-
OCR-MEI A-Level (UK - Pre-2017)	C4	Vectors	2D Vector geometry	-
Pre-Calculus (US)	E1	Vectors	2D Vector geometry	-
Pre-U A-Level (UK)	6	Vectors	2D Vector geometry	-
Scottish (Highers + Advanced)	HM3	Vectors	2D Vector geometry	-
Scottish Highers	M3	Vectors	2D Vector geometry	-
Universal (all site questions)	V	Vectors	2D Vector geometry	-
WJEC A-Level (Wales)	C4	Vectors	2D Vector geometry	-