Vector Equality

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Introduction to Vector Equality

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Description

A detailed tutorial on how to determine if two vectors are equal. Step by step tutorial including several examples of vector equality for reference.

Overview

Vectors are said to be equal if they have the same magnitude and direction. They must also have the same coordinates. Using this logic, it is possible to determine if you have two vectors {\mathbf a} = a_1{\mathbf e}_1 + a_2{\mathbf e}_2 + a_3{\mathbf e}_3 and {\mathbf b} = b_1{\mathbf e}_1 + b_2{\mathbf e}_2 + b_3{\mathbf e}_3, they are equal if a_1 = b_1,\quad a_2=b_2,\quad a_3=b_3.\,.


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