Vector addition

Gives the i-th Cartesian component of the sum of two Euclidean vectors by adding their corresponding components. It is used whenever two vectors are added in coordinates.

(a + b)_{i} = a_{i} + b_{i}

(\boldsymbol{a} + \boldsymbol{b})_i = a_i + b_i

What the symbols mean

$a$	first vector
$b$	second vector
$i$	index of the Cartesian component (e.g. 1, 2, 3)
$a_{i}$	i-th Cartesian component of \boldsymbol{a}
$b_{i}$	i-th Cartesian component of \boldsymbol{b}

About this formula

FieldMathematics
TopicVector algebra
LevelHigh school
Also calledaddition of vectors, sum of vectors, euclidean vector addition, component form of vector addition, adding vectors componentwise, vector sum formula
SourceWikidata Q10713659

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What the symbols mean

About this formula

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