Category:Characteristics of Vector in Plane
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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.