Linearly Independent Vectors

Linearly Independent Vectors

Vectors with different directions.


All vectors on a plane are a linear combination of two linearly independent vectors.


The two vectors \(\overrightarrow{u}\) and \(\overrightarrow{v}\) represented below are linearly independent because there are two non-zero real numbers α and β for which:α\(\overrightarrow{u}\) +β\(\overrightarrow{v}\) ≠ 0.

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