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Basic Physics
Vectors
Cartesian decomposition

1. Vectors

Cartesian decomposition

Formula

\vec A=A_x\hat i+A_y\hat j+A_z\hat k

In two dimensions

A_x=A\cos\theta,\qquad A_y=A\sin\theta

Tags

physics
physics formula
vectors

Detail

Expresses a vector through its Cartesian components; in the plane, those components are obtained from the magnitude and the angle.

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