A 2-dimensional vector can be represented as a pair of numbers (usually real numbers) such as $(a,b).$ Given two such vectors $(a,b)$ and $(c,d),$ the sum is obtained by adding the respective elements:

$(a,b)~+~(c,d)~=~(a+c,b+d)$

When representing the vectors as arrow on a plane, the corresponds to travelling the distance and direction represented by one vector, and then from there, continuing on in the direction of the second vector for the associated distance. This can be visualised as putting the vectors "head to tail."

Adding the vectors in the other order on the same diagram gives a parallelogram of vector addition, as shown in the diagram.

ArgandDiagram ComplexNumber MagnitudeOfAVector MathematicsTaxonomy MatrixMultiplication Quaternion ScalarProduct SubtractingComplexNumbers WhatIsATopic	(none)			(none)
↓	↓		↓	↓
AddingComplexNumbers Vectors			AddingVectors VectorSubtraction
			↓
		⇌	You are here Adding2DVectors
			↓
			RealNumber
↓	↓		↓	↓
AddingVectors ArgandDiagram Associative CategoryMetaTopic CommonFactor Commutative ComplexNumber ScalarProduct	(none)			AlgebraicNumber CauchySequence ContinuedFraction DedekindCut IrrationalNumber RationalNumber TranscendentalNumber

Local neighbourhood - D3

Last change to this page
Full Page history
Links to this page

Edit this page
(with sufficient authority)
Change password

Recent changes
All pages
Search

Adding 2 D Vectors

Navigation

You are here

Local neighbourhood - D3