## Vector Algebra Maths Formulas for Class 12 Chapter 10

Are you looking for Vector Algebra formulas for class 12 Chapter 10? Today, we are going to share Vector Algebra formulas for class 12 Chapter 10 according to student requirements. You are not a single student who is searching Vector Algebra formulas for class 12 chapters 2. According to me, thousands of students are searching Vector Algebra formulas for class 12 Chapter 10 per month. If you have any doubt or issue related to Vector Algebra formulas then you can easily connect with through social media for discussion. Vector Algebra formulas will very helpful to understand the concept and questions of the chapter Vector Algebra.

- 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 = \(\overrightarrow{P_{1}P_{2}}=\overrightarrow{OP_{1}}-\overrightarrow{OP_{1}}\)

If two vectors \(\vec{a}\) and \(\vec{b}\) are given in its component forms as \(\hat{a}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k}\) and \(\hat{b}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k}\) and λ as the scalar part; then:

- (i) \(\vec{a}+\vec{b}=(a_1+b_1)\hat{i}+(a_2+b_2)\hat{j}+(a_3+b_3)\hat{k}\) ;
- (ii) \(\lambda \vec{a}=(\lambda a_1)\hat{i}+(\lambda a_2)\hat{j}+(\lambda a_3)\hat{k}\) ;
- (iii) \(\vec{a}\:.\:\vec{b}=(a_1b_1)+(a_2b_2)+(a_3b_3)\)
- (iv) and \(\vec{a}\times \vec{b}= \begin{bmatrix} \hat{i}& \hat{j}& \hat{k}\\ a_{1}& b_{1}& c_{1}\\ a_{2}& b_{2}& c_{2} \end{bmatrix}\).

#### Summary of Vector Algebra formulas

We have listed top important formulas for Vector Algebra for class 12 Chapter 10 which helps support to solve questions related to chapter Vector Algebra. I would like to say that after remembering the Vector Algebra formulas you can start the questions and answers solution of the Vector Algebra chapter. If you faced any problem to find the solution of Vector Algebra questions, please let me know through commenting or mail.

### Maths Formulas for Class 12 by Chapters

Here Check Maths formulas for class 12 by chapter wise.

- Chapter 1 Relations and Functions
- Chapter 2 Inverse Trigonometric Functions
- Chapter 3 Matrices
- Chapter 4 Determinants
- Chapter 5 Continuity and Differentiability
- Chapter 7 Integrals
- Chapter 8 Applications of Integrals
- Chapter 10 Vector Algebra
- Chapter 11 Three dimensional Geometry
- Chapter 13 Probability