In general a vector is represented as a "tuple" of numbers (usually real numbers) such as $(v_1,v_2,\ldots,v_n).$ Just as we saw in adding 2D vectors, given two such vectors the sum is obtained by adding the respective elements:

• $(u_1,u_2,\ldots,u_n)~+~(v_1,v_2,\ldots,v_n)~=~(u_1+v_1,u_2+v_2,\ldots,u_n+v_n)$
Unlike with 2D vectors this often cannot be represented physically (although 3D vectors can) but the method and technique is exactly the same.
This topic uses: Related:
ArgandDiagram
MagnitudeOfAVector
MathematicsTaxonomy
MatrixMultiplication
Quaternion
ScalarProduct
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Vectors VectorSubtraction

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