Category:Characteristics of Vector in Plane

This category contains pages concerning Characteristics of Vector in Plane:

Let a Cartesian plane $\CC$ be established with origin $O$.

Let $\tuple {A_x, A_y}$ be an ordered pair of real numbers that can be used to represent a point in $\CC$.

Then:

$\tuple {A_x, A_y}$ are the Cartesian coordinates of the terminal point of a position vector $\mathbf A$

$\tuple {A_x, A_y}$ can be transformed into $\tuple { {A'}_x, {A'}_y}$ by rotating $\CC$ about $O$ through an angle $\varphi$ using:

$\ds {A'}_x$

$=$

$\ds A_x \cos \varphi + A_y \sin \varphi$

$\ds {A'}_y$

$=$

$\ds -A_x \sin \varphi + A_y \cos \varphi$

Pages in category "Characteristics of Vector in Plane"

The following 4 pages are in this category, out of 4 total.