Vector Algebra
In this chapter, the concepts of vector quantities, how to find the position vector of a point, geometrical interpretation of vectors, and dot and cross product of vectors are discussed. These concepts have great importance in higher education (engineering and technology). The important formulas used in vector algebras are,
For vector a as,
[Tex]\vec a [/Tex] = xi + yj + zk, then the magnitude of the vector is,
I[Tex]\vec{a} [/Tex]I= √(x2 + y2 + z2)
The vector law used is,
- A + B = B + A (Commutative Law)
- A + (B + C) = (A + B) + C (Associative Law)
- (A • B )= |P| |Q| cos θ ( Dot Product )
- (A × B )= |P| |Q| sin θ (Cross Product)
- k (A + B )= kA + kB
- A + 0 = 0 + A (Additive Identity)
Learn more about, Vector Algebra
Class 12 Maths Formulas
Class 12 maths formulas page is designed for the convenience of the learners so that one can understand all the important concepts of Class 12 Mathematics directly and easily. Math formulae for Class 12 are for the students who find mathematics to be a nightmare and difficult to grasp. They may become hesitant and lose interest in studies as a result of this. We have included all of the key formulae for the 12th standard Maths topic, which students may simply recall, to assist them in understanding Maths in a straightforward manner. For all courses such as Integration, Differentiation, Trignometry, Relation and Functions, and so on, the formulae are provided here according to the NCERT curriculum.
Table of Content
- Chapter 1: Relations and Functions
- Chapter 2: Inverse Trigonometric Functions
- Chapter 3: Matrices
- Chapter 4: Determinants
- Chapter 5: Continuity and Differentiability
- Chapter 6: Applications of Derivatives
- Chapter 7: Integrals
- Chapter 8: Applications of Integrals
- Chapter 9: Differential Equations
- Chapter 10: Vector Algebra
- Chapter 11: Three-Dimensional Geometry
- Chapter 12: Linear Programming
- Chapter 13: Probability
Contact Us