Vector arithmetic - addition, Mathematics

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Vector Arithmetic

In this part we need to have a brief discussion of vector arithmetic.

Addition

We will begin with addition of two vectors. Thus, given the vectors a = a₁ , a₂ , a₃ and b = b₁ , b₂ , b₃ the addition of the two vectors is illustrated by the following formula.

a^→ + b^→ = (a₁ + b₁ , a₂ + b₂ , a₃ + b₃)

2353_Vector Arithmetic - Addition.png

The following diagram gives the geometric interpretation of the addition of two vectors.

This is occasionally known as the parallelogram law or triangle law.

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