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In this video, Chapter 10 – Vectors of Class 12 Mathematics (CBSE syllabus) is continued and NCERT Exercise 10.3 is completed in detail. All important concepts related to the dot product of vectors and its applications are explained step-by-step with an exam-oriented approach. This lecture is very important from the CBSE board exam perspective and helps students build strong conceptual clarity in vectors. ✅ Topics Covered in This Video: ✔️ Dot (Scalar) Product of Two Vectors ✔️ Properties of dot product ✔️ Angle between two vectors ✔️ Projection of a vector on another vector ✔️ Scalar and vector projection ✔️ Use of direction ratios and direction cosines ✔️ Applications of dot product in problems ✔️ NCERT Exercise 10.3 – Complete Solutions ✔️ Important exam tips & common mistakes 📌 Why This Video is Important? ✔️ High-weightage topic in Class 12 CBSE Maths ✔️ Frequently asked in board and school exams ✔️ Strong foundation for Vectors & 3D Geometry ✔️ Explained strictly as per NCERT syllabus 👨🎓 Best For: Class 12 CBSE Board Exam Preparation Chapter 10: Vectors NCERT Exercise practice JEE foundation & school-level exams 🔔 Subscribe to Manhas Classes for complete Class 12 Mathematics syllabus, NCERT solutions, PYQs, and exam-focused lectures. 👍 Like | 💬 Comment your doubts | 🔁 Share with classmates Vectors Class 12 NCERT Exercise 10.3 Dot Product of Vectors Projection of Vectors Direction Ratios Cosines Class 12 Maths CBSE Manhas Classes