Definition of perpendicular (orthogonal) vectors, Define orthogonal vectors, Urdu Hindi, (G12,C7,62)

🚀 Understand the Concept of Perpendicular (Orthogonal) Vectors! 📚 In this video, we will explore the definition and properties of orthogonal vectors, also known as perpendicular vectors, in vector mathematics. These vectors are fundamental for Grade 11 & 12 students studying Mathematics in Urdu/Hindi and have significant applications in physics, geometry, and engineering.

🔎 What You Will Learn:
✅ Definition & Properties of Perpendicular (Orthogonal) Vectors 🔄
✅ Mathematical Condition for Two Vectors to be Perpendicular (Dot Product = 0) 📏
✅ Formula & Step-by-Step Explanation with Examples ✍️
✅ Applications of Orthogonal Vectors in Physics & Engineering ⚙️
✅ Solved Examples to Strengthen Your Understanding 🎯

📢 Who Should Watch?
🔹 Grade 11 & 12 students (CBSE, ICSE, State Board)
🔹 JEE, NEET & competitive exam aspirants
🔹 Students preparing for board exams & entrance tests
🔹 Anyone learning vector mathematics and its applications

📌 Why Watch This Video?
Perpendicular (orthogonal) vectors play a crucial role in vector algebra, physics, and 3D geometry, making them essential for students aiming to excel in mathematics and competitive exams. This video provides a clear and easy-to-understand explanation in Urdu/Hindi, with step-by-step solutions and real-life applications.

✨ Watch now and strengthen your understanding of vectors! Don't forget to LIKE, SHARE & SUBSCRIBE for more helpful math lessons! 🚀🎓

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