Mathematics is not just about numbers โ itโs about understanding the structures and relationships that shape our world. Few topics capture this idea better than vectors, the language of direction, magnitude, and geometry.
From physics and computer graphics to data science and engineering, vectors are everywhere. Yet, for many students, they often appear abstract and confusing. Thatโs exactly why I wrote my new book:
๐ The Geometry of Vectors: A Visual Guide to Planar and 3D Vectors
Why This Book?
Most textbooks dive straight into definitions and formulas, leaving students to wonder why vectors matter or how to visualize them. In this book, Iโve taken a different approach:
- Planar vectors explained visually โ building a clear foundation.
- 3D intuition developed step by step โ so space doesnโt feel abstract.
- Dot product, cross product, and projections โ connected to geometry, physics, and real-world problems.
- Worked examples and problem-solving frameworks โ designed for IB, AP, A-Level, JEE, and university mathematics.
Itโs not just about solving equations โ itโs about seeing and feeling mathematics in action.
Who Is This Book For?
- ๐ High school & international curriculum students (IB, AP, A-Level, JEE Advanced).
- ๐ University learners in mathematics, physics, or engineering.
- ๐ฉโ๐ซ Educators and tutors looking for clear, intuitive teaching resources.
- ๐ Curious learners who want to unlock the elegance of vectors in geometry and space.
My Approach
As an Educator, Author, and Elite International Math Mentor, I bring the perspective of someone who has guided students across the globe. My academic training at IIT Guwahati and the Indian Statistical Institute taught me the rigor of mathematics. But itโs through teaching โ breaking down complex ideas into intuitive steps โ that Iโve learned the true art of explanation.
This book is part of my mission to make mathematics a subject to be understood deeply, not just memorized.
Ready to Begin Your Journey?
If youโre ready to see mathematics differently and master the power of vectors, this book will be your trusted guide.
๐ Book your copy at MathByRishabh.com
Learn with Math By Rishabh โ where deep understanding meets elite mentorship.
Rishabh Kumar
Educator | Author | Elite International Math Mentor
Alumnus, IIT Guwahati & the Indian Statistical Institute


