The Geometry of Vectors: A Visual Guide to Planar and 3D Vectors

Mathematics is not just about numbers โ€” itโ€™s 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. Thatโ€™s exactly why I wrote my new book:

๐Ÿ“– 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, Iโ€™ve taken a different approach:

  • Planar vectors explained visually โ€” building a clear foundation.
  • 3D intuition developed step by step โ€” so space doesnโ€™t 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.

Itโ€™s not just about solving equations โ€” itโ€™s about seeing and feeling mathematics in action.


Who Is This Book For?

  • ๐ŸŽ“ High school & international curriculum students (IB, AP, A-Level, JEE Advanced).
  • ๐Ÿ“ University learners in mathematics, physics, or engineering.
  • ๐Ÿ‘ฉโ€๐Ÿซ Educators and tutors looking for clear, intuitive teaching resources.
  • ๐ŸŒ 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 itโ€™s through teaching โ€” breaking down complex ideas into intuitive steps โ€” that Iโ€™ve 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 youโ€™re ready to see mathematics differently and master the power of vectors, this book will be your trusted guide.

๐Ÿ‘‰ 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

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