Algebra Formulas for Class 12
The important formulas for students in class 12 include vector algebra formulas. These formulas are discussed below,
Take any three vectors, a, b and c then,
- For vector a = x i+y j+z k, then magnitude of |a| =√(x2+y2+z2).
- Unit vector along a is a / |a|
- Dot product of two vectors a and b is defined as a ⋅ b = |a| |b| cos θ
where θ is the angle between the vectors a and b. - Cross product of vectors a and b is defined as a × b = |a| |b| sin θ
where θ is the angle between the vectors a and b. - Scalar Triple Product of three vectors a, b, and c are given by [a b c ] = a ⋅ (b × c) = (a × b) ⋅ c.
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Algebra Formulas
Algebra Formulas are the basic formulas that are used to simplify algebraic expressions. Algebraic Formulas form the basis for solving various complex problems. Algebraic Formulas help solve algebraic equations, quadratic equations, polynomials, trigonometry equations, probability questions, and others.
An identity is a true equation for any values assigned to the variables. Algebraic Identities are used to solve various equations. For Algebraic Identities, L.H.S is always equal to R.H.S.
Table of Content
- What are Algebra Formulas?
- Algebraic Identities
- Algebra Formulas for Class 8
- Algebra Formulas for Class 9
- Law of Exponent
- Algebra Formulas for Class 10
- Formulas for Arithmetic Sequence
- Formulas for Geometric Sequence
- Algebra Formulas for Class 11
- Algebra Formulas for Class 12
- Solved Examples on Algebra Formulas
- Summarizing Algebra Formulas
- Practice Problems on Algebra Formulas