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Vectors

★★☆☆☆Middle School

📖Definition

A quantity with both magnitude and direction, represented by coordinates.

\vecv = \beginpmatrix v₁ \\ v₂ \\ ⋮ \\ vₙ \endpmatrix

n-dimensional vector notation

|\vecv| = √v₁² + v₂² + ... + vₙ²

Vector magnitude (norm)

\hatv = \frac\vecv|\vecv|

Unit vector

예제 1★☆☆☆☆

Find the magnitude of v = (3, 4).

예제 2★★☆☆☆

Find the unit vector of v = (3, 4).

Force, velocity, acceleration

Position, direction

#linear-algebra#vector#fundamental