NMT / ZNO

Formulas and reference

A compact mathematics reference in two levels: the NMT exam sheet and the full ZNO formula set.

NMT — exam reference sheet · Geometry · 3 formulas
NMT mode Shows only the compact set matching the NMT-2026 reference materials.
Vectors

Vectors

Coordinates of vector AB

\[\overrightarrow{AB}=(x_2-x_1;\,y_2-y_1;\,z_2-z_1)\]

Dot product in coordinates

\[\vec a\cdot\vec b=a_1b_1+a_2b_2+a_3b_3\]

Dot product using the angle

\[\vec a\cdot\vec b=|\vec a||\vec b|\cos\varphi\]