Geometry Formulas For Class 12

Find the best practice material that covers all important geometry formulas for class 12. So that students will not miss any formulas while preparing for board exams or competitive exams. The table below gives you few important geometry formulas for class 12. The formulas listed below are commonly required in class 12 geometry to calculate directions, length and much more.

A list of the most commonly used geometry formulas for class 12. Math – Geometry Formulas like Polygon Properties, Area Formulas, Volume Formulas, Surface Area Formulas, Circle Formula, Perimeter Formulas.

Vectors and Three Dimensional Geometry Formulas for Class 12
Position Vector \( \overrightarrow{OP}=\vec{r}=\sqrt{x^{2}+y^{2}+z^{2}}\)
Direction Ratios \( l=\frac{a}{r},m=\frac{m}{r},n=\frac{c}{r}\)
Vector Addition \(\vec{PQ}+\vec{QR}=\vec{PR}\)
Properties of Vector Addition \(Commutative \; Property\; \vec{a}+\vec{b}=\vec{b}+\vec{a}\)

\(Associative \; Property\; \left (\vec{a}+\vec{b} \right )\vec{c}+=\vec{a}+\left (\vec{b}+\vec{c} \right )\)

Vector Joining Two Points \(\overrightarrow{P_{1}P_{2}}=\overrightarrow{OP_{1}}-\overrightarrow{OP_{1}}\)
Skew Lines \(\cos\theta = \left | \frac{a_{1}a_{2}+b_{1}b_{2}+c_{1}c_{2}}{\sqrt{a_{1}^{2}+a_{1}^{2}+c_{1}^{2}}\sqrt{a_{2}^{2}+a_{2}^{2}+c_{2}^{2}}} \right |\)
Equation of a Line \(\frac{x-x_{1}}{a}=\frac{y-y_{1}}{b}=\frac{z-z_{1}}{c}\)


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