Vector Algebra - Full Chapter Explanation and NCERT Solutions | Class 12 Maths Chapter 10 | 2022-23
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✅ In this video,
✔️ Class: 12th
✔️ Subject: Maths
✔️ Chapter: Vector Algebra (Chapter 10)
✔️ Topic Name: Vector Algebra - Full Chapter Explanation, NCERT Solutions and MCQs | Class 12 Maths Chapter 10 | 2022-23
✔️ Topics Covered In This Video : This video by Shivani Mam will provide detailed explanation of the chapter Vector Algebra. In this video, she will discuss and explain all the important concepts, NCERT Exercise solutions, MCQs and will also provide helpful tips on how to answer them during the exams. The video will help students to prepare for their upcoming board exams and score better in the examination.
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00:00 Introduction: Vector Algebra Full Chapter Explanation, NCERT Solutions and MCQs
01:03 Exercise Introduction 10.1: Physical Quantities
06:13 Examples
10:41 Representation of vectors
26:22 Position Vector
33:00 Direction Angle, Direction Cosines, Direction ratios
01:00:35 Types of Vector
01:18:10 Free Vector
01:20:43 Question 1 to : Exercise 10.1: (Page No. 428): Vector Algebra
Que. 1 Represent graphically a displacement of 40 km, 30° east of north.
01:42:25 Exercise Introduction 10.2: Addition of Vectors
01:50:15 Note
02:00:50 Difference of Vector
02:08:36 Parallelogram Law of Vector Addition
02:18:29 Properties of Vector Addition
02:21:59 Multiplication of a Vector by a Scalar
02:31:41 Components of Vectors
03:00:05 Unit Vector
03:06:04 Points to Remember
03:12:08 Direction Ratios and Direction cosines of a Vector
03:20:35 Vector joining two points
03:27:05 Section Formula
03:35:27 Question 1 to 10: Exercise 10.2: (Page No. 440): Vector Algebra
1. Compute the magnitude of the following vectors:
04:20:42 Question 11 to 19 Exercise 10.2: (Page No. 440): Vector Algebra
05:23:49 Exercise Introduction 10.3
05:27:14 Scalar (or dot) product of two vector
05:31:16 Observation
06:47:17 Projection of a vector on a line
06:57:55 Cauchy-Schwartz inequality
07:07:19 Triangle Inequality
07:17:36 Remark
07:19:29 Question 1 to 10: Exercise 10.3: (Page No. 447): Vector Algebra
08:26:21 Question 11 to 18: Exercise 10.3: (Page No. 448): Vector Algebra
09:27:54 Exercise Introduction 10.4
09:30:06 Vector (or cross) product of two vectors
10:54:53 Question 1 to 12: Exercise 10.4: (Page No. 454): Vector Algebra
12:28:07 Question 1 to 10: Miscellaneous Exercise: (Page No. 458): Vector Algebra
1. Write down a unit vector in XY-plane, making an angle of 30° with the positive x-axis.
14:16:16 Question 11 to 16: Miscellaneous Exercise: (Page No. 458): Vector Algebra
15:35:41 Question 1 to 10: Multiple Choice Questions (MCQs): Vector Algebra
Que. 1 The value of x if x (i + j + k) is a unit vector, is:
16:17:02 Question 11 to 13: Multiple Choice Questions (MCQs): Vector Algebra
17:09:33 Representation of vector: Vector Algebra: Complete Chapter Revision
20:36:00 Website Overview
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