Cross product of two vectors FormulaCross Product (Definition) $$ \boldsymbol{a} ~\times~ \boldsymbol{b} ~=~ \begin{bmatrix} a_2b_3-a_3b_2 \\ a_3b_1-a_1b_3 \\ a_1b_2-a_2b_1 \end{bmatrix} $$
Formulapq-Formula (Solution of a Quadratic Equation) $$ x_1 ~=~ - \frac{\class{red}{p}}{2} ~+~ \sqrt{ \left( \frac{\class{red}{p}}{2} \right)^2 ~-~ \class{blue}{q}} $$
Allgemeines Dreieck mit Winkeln und Kanten FormulaLaw of Sine (Side Length, Angle) $$ \frac{a}{\sin(\alpha)} ~=~ \frac{b}{\sin(\beta)} \\ ~=~ \frac{c}{\sin(\gamma)} $$
Allgemeines Dreieck mit Winkeln und Kanten FormulaLaw of Cosine (Side Length, Angle) $$ c^2 ~=~ a^2 ~+~ b^2 ~-~ 2a\,b\cos(\gamma) $$
Trapezoid and its Sides, Height and Angles FormulaTrapezoid (Height, Angle) $$ \class{green}{h} ~=~ c \, \sin(\alpha) $$
Sphere with its Radius and Diameter FormulaSphere (Surface Area, Radius) $$ A ~=~ 4\pi \, \class{red}{r}^2 $$
Right Circular Cylinder with Radius and Height FormulaRight Circular Cylinder (Volume, Radius, Height) $$ V ~=~ \pi \, r^2 \, \class{red}{h} $$
Right Circular Cylinder with Radius and Height FormulaRight Circular Cylinder (Area, Radius, Height) $$ A ~=~ 2\pi \, r \, (r + \class{red}{h}) $$
