#Class 12 Vector Algebra

[drmikewatts]

Soft Computing, Volume 29, Issue 6, March 2025

1) On subresiduated lattice ordered commutative monoids and some of its subvarieties

Author(s): Juan Manuel Cornejo, Hernán Javier San Martín, Valeria Anahí Sígal

Pages: 2517 - 2529

2) Dynamic updating approximations of local multigranulation neighborhood covering rough sets

Author(s): Qi Shi, Yan-Lan Zhang

Pages: 2531 - 2550

3) Relationships between various ideals in L-algebra

Author(s): S. Saidi Goraghani, R. A. Borzooei

Pages: 2551 - 2562

4) Numerical algorithm for solving third-order Emden–Fowler type pantograph differential equations: Taylor operational matrix method

Author(s): Nikita Saha, Randhir Singh

Pages: 2563 - 2579

5) L-fuzzy transforms: an operator-oriented approach

Author(s): A. P. Singh, S. P. Tiwari, I. Perfilieva

Pages: 2581 - 2593

6) A golden section-based group decision-making approach to software trustworthiness evaluation

Author(s): Chuan Yue

Pages: 2595 - 2618

7) The impact of hydrogen energy storage aqua electrolyzer fuels cell on automatic generation control of power system using optimal FGS PID controller

Author(s): Ankur Rai, Dushmanta Kumar Das

Pages: 2619 - 2638

8) Choquet integral in ranking data: on the construction of a measure of importance and interaction

Author(s): M. Eugenia Cornejo, Jesús Medina, Andreja Tepavčević

Pages: 2639 - 2651

9) Applications of integrals and extreme value of solution of uncertain age-dependent population equation with migration source

Author(s): Lu Yang

Pages: 2653 - 2668

10) A modified slacks-based measure of efficiency and super-efficiency under zero and negative data

Author(s): Ehsan Zanboori

Pages: 2669 - 2686

11) Optimal stress levels and inference procedures for constant stress accelerated life test under bathtub-shaped lifetime model

Author(s): Çağatay Çetinkaya

Pages: 2687 - 2714

12) Fc-gcn: A formal concept-enhanced graph convolution network model

Author(s): Kai Wu, Chao Zhang, Vincenzo Loia

Pages: 2715 - 2725

13) A model-free feature extraction procedure for interval-valued time series prediction

Author(s): Wan Tian, Zhongfeng Qin, Tao Hu

Pages: 2727 - 2741

14) Neutrosophic multi-choice 4D-transportation problem for different quality items

Author(s): Dipankar Chakraborty, Sarbari Samanta, Dipak Kumar Jana

Pages: 2743 - 2767

15) Optimizing energy harvesting in web of things services: a metaheuristic approach with retrial queue under working vacation

Author(s): N. Micheal Mathavavisakan, K. Indhira, Sherif I. Ammar

Pages: 2769 - 2790

16) Differentiation or undifferentiation? analysis of car-sharing strategies for the vehicle manufacturer

Author(s): Xin Yu, Zhongwei Chen, Zhi-Ping Fan

Pages: 2791 - 2806

17) A two-stage optimization replacement policy with multiple spare units

Author(s): Chunxiao Zhang, Hejiao Shen, Chao Yan

Pages: 2807 - 2817

18) A new model for facility bus terminal location problem based on modified Kerre’s inequality

Author(s): Sahar Rahdar, Reza Ghanbari, Donya Heidari

Pages: 2819 - 2828

19) A new metaheuristic optimization algorithm based on the participation of smart students to increase the class performance

Author(s): Einollah Pira, Alireza Rouhi

Pages: 2829 - 2844

20) A novel stochastic machine learning approach for resilient-leagile supplier selection: a circular supply chain in the era of industry 4.0

Author(s): Bahar Javan Molaei, Mohssen Ghanavati-Nejad, Mohammad Sheikhalishahi

Pages: 2845 - 2866

21) An arithmetic–geometric mean difference based approach to consistency index and priority vector of pairwise comparison matrices

Author(s): Yuan-Kai Hu, Fang Liu, Shi-Shan Wang

Pages: 2867 - 2884

22) On pure ideals in semilattices

Author(s): Nilesh Mundlik, Mayur Kshirsagar

Pages: 2885 - 2889

23) Innovative image encryption approach based on bitwise XOR high nonlinear S-boxes and random permutation

Author(s): Fırat Artuğer

Pages: 2891 - 2903

24) Evolutionary optimization in VANET services: a comprehensive survey, challenges and futuristic approach

Author(s): Madhuri Badole, Anuradha Thakare, Diego Oliva

Pages: 2905 - 2929

25) Wind farm layout optimization based on Harris hawk optimization algorithm with variable weight coefficients and Jansen wake model

Author(s): Min Wang, Jie-Sheng Wang, Yu-Cai Wang

Pages: 2931 - 2969

26) Construction and empirical research of a subjective-and-objective-analysis model of the online learning behavior

Author(s): Ke Wang, Kun Zheng, Ying Wang

Pages: 2971 - 2982

27) A synchronous spatiotemporal graph neural network for short-term traffic flow prediction

Author(s): Zhao Zhang, Xiaohong Jiao

Pages: 2983 - 2997

28) Modeling of metaheuristic-based dual cluster head selection with routing protocol for energy-efficient wireless sensor networks

Author(s): Maddikera Krishna Reddy, Anusha Sowbarnika Veluswamy, Syed Shameem

Pages: 2999 - 3020

29) Expansive detector via hybrid temporal and transposed convolutional mechanism for weld proximity defects

Author(s): Zihua Chen, Runmei Zhang, Kuan-ching Li

Pages: 3021 - 3034

30) Forecasting of exchange rate time series based on event-aware transformer mode

Author(s): Siyi Zhang, Tong Che, Ping Feng

Pages: 3035 - 3045

31) Sustainability, innovation and knowledge: a complex relationship based on an empirical study

Author(s): Sebastian-Ion Ceptureanu, Eduard-Gabriel Ceptureanu, Adriana Lavinia Iancu

Pages: 3047 - 3062

32) Why does economics need complexity?

Author(s): Mauro Gallegati, Silvia Gallegati

Pages: 3063 - 3072

33) A review for finding determinants of some band matrices

Author(s): Maryam Shams Solary

Pages: 3073 - 3082

34) Modeling and simulating a startup ecosystem development with a delayed differential equation

Author(s): Alessio Brini, Viviana Fanelli

Pages: 3083 - 3095

35) Explainable Grouped Deep Echo State Network for EEG-based emotion recognition

Author(s): Samar Bouazizi, Hela Ltifi

Pages: 3097 - 3114

[sethiswiftlearn]

Class 12 Math | Mastering Three-Dimensional Geometry & Vectors | JEE Mains, CUET Prep

Master the essential concepts of Three-Dimensional Geometry & Vectors with this in-depth session designed for Class 12 Math students preparing for JEE Mains, CUET, and other competitive exams. This lecture covers key topics like direction cosines, vector algebra, equations of planes, and lines in 3D space, ensuring a solid understanding through illustrations and problem-solving techniques.

🔹 Learn how to visualize and solve 3D geometry problems effectively 🔹 Understand vector operations, dot & cross product applications 🔹 Strengthen your grasp on planes, straight lines, and distances in space 🔹 Boost your JEE Mains & CUET preparation with expert explanations

🚀 Don't miss this power-packed revision! Watch now: https://youtu.be/dIGMWnf94Fc?si=YELdH1GeUhwZX0l4

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Master 12th Math with the Best Tuition in Chandigarh

Master 12th Math with the Best Tuition in Chandigarh Mathematics in Class 12 is important in determining the academic life of a student. Whether you want to pursue engineering, commerce, or competitive exams, math literacy is crucial. The proper math tuition in Chandigarh can turn the tables and help you understand tricky concepts, enhance problem-solving ability, and increase confidence.

Why 12th Math Tuition in Chandigarh? Chandigarh boasts some of the top coaching centers offering professional guidance for Class 12 math preparation. Here's why professional tuition can be a game-changer: Personalized Learning Approach – Limited batch sizes allow students to receive personal attention, enabling them to clear doubts easily. Expert Faculty – Highly qualified teachers apply modern teaching methods to make difficult mathematical concepts easier. Regular Practice and Tests – Ongoing tests and assignments aid in monitoring progress and consolidating learning. Exam-Focused Preparation – A well-designed curriculum emphasizes crucial topics, past question papers, and competitive exam trends.

Major Topics Covered in 12th Math Tuition

A well-designed tuition course covers all the major Class 12 math topics as mandated by the CBSE and other boards. Some of the major areas are: Calculus – Differentiation, Integration, and Application of Derivatives Algebra – Matrices, Determinants, and Linear Programming Probability & Statistics – Conditional Probability, Mean, Median, and Standard Deviation Coordinate Geometry – Three-Dimensional Geometry and Vectors Relations & Functions – Inverse Trigonometric Functions and Continuity

How to Select the Best Math Tuition in Chandigarh?

Getting the most appropriate tuition center is a thoughtful decision based on numerous factors: Faculty Experience – Inspect the education and experience of teachers. Student Reviews and Success Rate – Check previous outcomes and students' reviews. Flexible Batch Timings – Make sure the class timing is compatible with your study schedule. Doubt-Solving Sessions – Provision of additional classes for resolving doubts.

Conclusion Excelling in Class 12 mathematics requires the right guidance, consistent practice, and strategic preparation. Enrolling in the best math tuition in Chandigarh can help you build a strong foundation and secure excellent marks in your board exams. With expert coaching, a structured curriculum, and personalized attention, you can overcome challenges and master every concept with ease. Start your journey today and make math your strength!

[shiva10010]

JEE Main 2025! Prep Your Math Strategy with the Latest Syllabus

The Joint Entrance Examination (JEE) Main is a critical gateway for aspiring engineers in India. While the official syllabus for JEE Main 2025 will likely be released by the National Testing Agency (NTA) in November 2024, you can get a head start on your preparation using the previous year's syllabus as a guide.

This article focuses on the Mathematics section of the JEE Main 2025 exam.

Key Elements of the JEE Main 2025 Maths Syllabus

The JEE Main Maths syllabus covers a wide range of topics from Class 11 and 12 NCERT textbooks. Here's a quick glimpse of the major areas you'll encounter:

Algebra: Sets, relations and functions, complex numbers, matrices and determinants, mathematical induction, binomial theorem, sequence and series.

Calculus: Limit, continuity and differentiability, integral calculus, differential equations.

Geometry: Coordinate geometry, three-dimensional geometry, vector algebra.

Other Quantitative Techniques: Statistics and probability, trigonometry, mathematical reasoning.

Why eSaral is Your Perfect JEE Main 2025 Maths Companion

While the syllabus provides a roadmap, in-depth preparation is essential for success. This is where eSaral steps in:

Complete Syllabus Coverage: eSaral ensures you cover all the essential JEE Main Maths topics.

Detailed Learning Material: Access a treasure trove of resources, including crisp explanations, illustrative examples, and topic-wise revision notes [refer to JEE Main 2025 Maths Revision Notes on eSaral for details].

Catered Learning Styles: Whether you prefer short and focused content or a deep dive into concepts, eSaral offers options to match your learning style.

Practice Makes Perfect: Sharpen your skills with ample practice problems available on the platform.

Additional Tips to Conquer JEE Main 2025 Maths

Focus on NCERT Textbooks: They form the foundation for the entire syllabus.

Regular Practice: Solve problems consistently to build speed, accuracy, and exam temperament.

Mock Tests: Take regular mock tests to simulate the exam environment and identify areas for improvement.

Clear Your Doubts: Don't hesitate to seek clarification from teachers or online forums.

Conclusion

JEE Main 2025 Maths can be aced with the right approach and resources. By leveraging the detailed syllabus and comprehensive learning materials offered by eSaral, you can approach the exam with confidence and a strategic plan. Remember, consistent effort and focused practice are key to achieving your engineering dreams.

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MP Board Class 12th Maths Book Solutions in English Medium

MP Board Class 12th Maths Chapter 1 Relations and Functions

Chapter 1 Relations and Functions Ex 1.1

Chapter 1 Relations and Functions Ex 1.2

Chapter 1 Relations and Functions Ex 1.3

Chapter 1 Relations and Functions Ex 1.4

Chapter 1 Relations and Functions Miscellaneous Exercise

MP Board Class 12th Maths Chapter 2 Inverse Trigonometric Functions

Chapter 2 Inverse Trigonometric Functions Ex 2.1

Chapter 2 Inverse Trigonometric Functions Ex 2.2

Chapter 2 Inverse Trigonometric Functions Miscellaneous Exercise

MP Board Class 12th Maths Chapter 3 Matrices

Chapter 3 Matrices Ex 3.1

Chapter 3 Matrices Ex 3.2

Chapter 3 Matrices Ex 3.3

Chapter 3 Matrices Ex 3.4

Chapter 3 Matrices Miscellaneous Exercise

MP Board Class 12th Maths Chapter 4 Determinants

Chapter 4 Determinants Ex 4.1

Chapter 4 Determinants Ex 4.2

Chapter 4 Determinants Ex 4.3

Chapter 4 Determinants Ex 4.4

Chapter 4 Determinants Ex 4.5

Chapter 4 Determinants Ex 4.6

Chapter 4 Determinants Miscellaneous Exercise

MP Board Class 12th Maths Chapter 5 Continuity and Differentiability

Chapter 5 Continuity and Differentiability Ex 5.1

Chapter 5 Continuity and Differentiability Ex 5.2

Chapter 5 Continuity and Differentiability Ex 5.3

Chapter 5 Continuity and Differentiability Ex 5.4

Chapter 5 Continuity and Differentiability Ex 5.5

Chapter 5 Continuity and Differentiability Ex 5.6

Chapter 5 Continuity and Differentiability Ex 5.7

Chapter 5 Continuity and Differentiability Ex 5.8

Chapter 5 Continuity and Differentiability Miscellaneous Exercise

MP Board Class 12th Maths Chapter 6 Application of Derivatives

Chapter 6 Application of Derivatives Ex 6.1

Chapter 6 Application of Derivatives Ex 6.2

Chapter 6 Application of Derivatives Ex 6.3

Chapter 6 Application of Derivatives Ex 6.4

Chapter 6 Application of Derivatives Ex 6.5

Chapter 6 Application of Derivatives Miscellaneous Exercise

MP Board Class 12th Maths Chapter 7 Integrals

Chapter 7 Integrals Ex 7.1

Chapter 7 Integrals Ex 7.2

Chapter 7 Integrals Ex 7.3

Chapter 7 Integrals Ex 7.4

Chapter 7 Integrals Ex 7.5

Chapter 7 Integrals Ex 7.6

Chapter 7 Integrals Ex 7.7

Chapter 7 Integrals Ex 7.8

Chapter 7 Integrals Ex 7.9

Chapter 7 Integrals Ex 7.10

Chapter 7 Integrals Ex 7.11

Chapter 7 Integrals Miscellaneous Exercise

MP Board Class 12th Maths Chapter 8 Application of Integrals

Chapter 8 Application of Integrals Ex 8.1

Chapter 8 Application of Integrals Ex 8.2

Chapter 8 Application of Integrals Miscellaneous Exercise

MP Board Class 12th Maths Chapter 9 Differential Equations

Chapter 9 Differential Equations Ex 9.1

Chapter 9 Differential Equations Ex 9.2

Chapter 9 Differential Equations Ex 9.3

Chapter 9 Differential Equations Ex 9.4

Chapter 9 Differential Equations Ex 9.5

Chapter 9 Differential Equations Ex 9.6

Chapter 9 Differential Equations Miscellaneous Exercise

MP Board Class 12th Maths Chapter 10 Vector Algebra

Chapter 10 Vector Algebra Ex 10.1

Chapter 10 Vector Algebra Ex 10.2

Chapter 10 Vector Algebra Ex 10.3

Chapter 10 Vector Algebra Ex 10.4

Chapter 10 Vector Algebra Miscellaneous Exercise

MP Board Class 12th Maths Chapter 11 Three Dimensional Geometry

Chapter 11 Three Dimensional Geometry Ex 11.1

Chapter 11 Three Dimensional Geometry Ex 11.2

Chapter 11 Three Dimensional Geometry Ex 11.3

Chapter 11 Three Dimensional Geometry Miscellaneous Exercise

MP Board Class 12th Maths Chapter 12 Linear Programming

Chapter 12 Linear Programming Ex 12.1

Chapter 12 Linear Programming Ex 12.2

Chapter 12 Linear Programming Miscellaneous Exercise

MP Board Class 12th Maths Chapter 13 Probability

Chapter 13 Probability Ex 13.1

Chapter 13 Probability Ex 13.2

Chapter 13 Probability Ex 13.3

Chapter 13 Probability Ex 13.4

Chapter 13 Probability Ex 13.5

Chapter 13 Probability Miscellaneous Exercise

[studiestoday123]

"Unlock the power of vectors with CBSE NCERT Class 12 Vector Algebra by StudiesToday. Master fundamental concepts, solve intricate problems, and excel in mathematics with comprehensive study materials designed for student success."

[studyupindia]

NCERT Class 12 Mathematics Part-II ( English Medium )

All books are 100℅ original on Studyupindia.com ( Online NCERT Book Store ) as per the latest NCERT syllabus.

This NCERT Class 12 History Books Contains  :

Mathematics (Part  2)

Chapter 7.  Integrals

Chapter 8. Application of Integrals

Chapter 9. Differential Equations

Chapter 10. Vector Algebra

Chapter 11. Three Dimensional Geometry

Chapter 12. Linear Programming

Chapter 13. Probability

As Studyupindia provides products with quick delivery, easy exchanges from trusted sellers .

[ncertmcq]

Vector Algebra Class 12 Notes Maths Chapter 10

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NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra

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How to Study Vector Algebra and Three Dimensional Geometry of Class 12 Maths explained by expert teacher.

Lecture -1 Vector Algebra Class 12 Maths Chapter 10

NCERT Exercise 10.1 Vector Algebra Class 12 Maths 

NCERT Exercise 10.2 Vector Algebra Class 12 Maths

How to study Vector Algebra & Three-Dimensional Geometry?

Vector Algebra Class 12 Maths

Vector Algebra Class 12 Assignments

Full Syllabus of Class 12 Maths

[cbse-board]

Detailed explanation of ‘how to represent vectors, types of vectors and ncert solutions for Exercise 10.1 of Chapter 10 Vector Algebra Class 12 Maths.

#VectorAlgebra #Class12Maths

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Class 12 Math | Quick Revision of 3D Geometry & Vectors Through Illustrations | JEE Mains, CUET Prep

Get a quick and effective revision of 3D Geometry & Vectors for Class 12 Math with this engaging session! This video covers essential concepts with illustrations and problem-solving techniques, helping you strengthen your understanding for JEE Mains, CUET, and other competitive exams.

✅ Key Topics Covered: ✔️ Direction Cosines & Direction Ratios ✔️ Equation of Lines & Planes ✔️ Angle Between Two Lines/Planes ✔️ Vector Algebra & Applications ✔️ Solved Examples for Concept Clarity

This illustration-based revision makes complex concepts easier, ensuring better retention and quick problem-solving skills. Perfect for last-minute exam prep!

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me looking at my math notebook blurry eyed: 

i sit by myself talking in my roooomm tryna understand youuuu

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Vector Algebra Class 12 Maths IIT JEE Mains

Detailed explanation of vectors and scalars, magnitude and direction of a vector.Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors including basics to advance level concepts, NCERT Solutions, R.D Sharma, R.S Aggarwal, Important Examples from the boards point of view for NCERT Chapter 10 Vector Algebra Class 12 Maths IIT JEE Mains.

Below is the list of High-Quality Video Lectures links for Vector Algebra Class 12 Maths:

Lecture -1 Vector Algebra Class 12 Maths Chapter 10

NCERT Exercise 10.1 Vector Algebra Class 12 Maths

NCERT Exercise 10.2 Vector Algebra Class 12 Maths

How to study Vector Algebra & Three Dimensional Geometry?

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Download MCQs for Class 12 Vectors Algebra for important topics for all chapters in Class 12 Vectors Algebra based on CBSE and NCERT pattern. Multiple choice questions help to develop understanding of all key points of chapter. Download latest MCQs for Class 12 Vectors Algebra in pdf free

https://www.studiestoday.com/multiple-choice-questions/480/vectors-algebra.html