Last updated at May 29, 2018 by Teachoo

Transcript

Ex 10.3, 3 Find the projection of the vector 𝑖 − 𝑗 on the vector 𝑖 + 𝑗 . Let 𝑎 = 𝑖 − 𝑗 = 1 𝑖 – 1 𝑗 + 0 𝑘 𝑏 = 𝑖 + 𝑗 = 1 𝑖 + 1 𝑗 + 0 𝑘 Projector of vector 𝒂 on 𝒃 = 𝟏 𝒃 ( 𝒂 . 𝒃) Now, 𝒂 . 𝒃 = (1 × 1) (−1 × 1) + (0 × 0) = 1 + (−1) + 0 = 0 Also, Magnitude of 𝑏 = 12+12+02 𝑏 = 1+1+0 = 2 Projection of 𝑎 on 𝑏 = 1 𝑏 ( 𝑎 . 𝑏) = 1 2 (0) = 0

Ex 10.2, 7
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Ex 10.2, 9 Important

Ex 10.2, 10 Important

Ex 10.2, 13 Important

Ex 10.2, 17 Important

Example 14 Important

Example 16 Important

Example 21 Important

Ex 10.3, 2 Important

Ex 10.3, 3 Important You are here

Ex 10.3, 10 Important

Ex 10.3, 13 Important

Ex 10.3, 16 Important

Example 23 Important

Example 24 Important

Example 25 Important

Ex 10.4, 2 Important

Ex 10.4, 5 Important

Ex 10.4, 9 Important

Ex 10.4, 10 Important

Ex 10.4, 11 Important

Example 28 Important

Example 29 Important

Example 30 Important

Misc 6 Important

Misc 12 Important

Misc 13 Important

Misc 15 Important

Misc 19 Important

Class 12

Important Question for exams Class 12

- Chapter 1 Class 12 Relation and Functions
- Chapter 2 Class 12 Inverse Trigonometric Functions
- Chapter 3 Class 12 Matrices
- Chapter 4 Class 12 Determinants
- Chapter 5 Class 12 Continuity and Differentiability
- Chapter 6 Class 12 Application of Derivatives
- Chapter 7 Class 12 Integrals
- Chapter 8 Class 12 Application of Integrals
- Chapter 9 Class 12 Differential Equations
- Chapter 10 Class 12 Vector Algebra
- Chapter 11 Class 12 Three Dimensional Geometry
- Chapter 12 Class 12 Linear Programming
- Chapter 13 Class 12 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.