Last updated at May 6, 2021 by Teachoo

Transcript

Example 5 Let ๐ โ = ๐ ฬ + 2๐ ฬ and ๐ โ = 2๐ ฬ + ๐ ฬ . Is |๐ โ | = |๐ โ | ? Are the vectors ๐ โ and ๐ โ equal? Given ๐ โ = ๐ ฬ + 2๐ ฬ & ๐ โ = 2๐ ฬ + ๐ ฬ So, we can we can write, ๐ โ = 1๐ ฬ + 2๐ ฬ + 0๐ ฬ & ๐ โ = 2๐ ฬ + 1๐ ฬ + 0๐ ฬ Magnitude of ๐ โ |๐ โ | = โ(12+22+02) = โ5 Magnitude of ๐ โ |๐ โ | = โ(22+12+02) = โ5 Therefore, |๐ โ | = |๐ โ | Checking if ๐ โ and ๐ โ are equal ๐ โ = 1๐ ฬ + 2๐ ฬ + 0๐ ฬ & ๐ โ = 2๐ ฬ + 1๐ ฬ + 0๐ ฬ Comparing corresponding components, As 1 โ 2 Thus, ๐ โ and ๐ โ are not equal since their corresponding components are distinct.

Examples

Example 1
Important

Example 2 Important

Example 3 Important

Example 4

Example 5 You are here

Example 6

Example 7

Example 8 Important

Example 9

Example 10

Example 11 Important

Example 12 Important

Example 13

Example 14 Important

Example 15

Example 16 Important

Example 17

Example 18 Important

Example 19

Example 20

Example 21 Important

Example 22

Example 23 Important

Example 24

Example 25 Important

Example 26

Example 27 Important

Example 28 Important

Example 29 Important

Example 30 Important

Example 26 (Supplementary NCERT) Deleted for CBSE Board 2021 Exams only

Example 27 (Supplementary NCERT) Deleted for CBSE Board 2021 Exams only

Example 28 (Supplementary NCERT) Important Deleted for CBSE Board 2021 Exams only

Example 29 (Supplementary NCERT) Important Deleted for CBSE Board 2021 Exams only

Example 30 (Supplementary NCERT) Important Deleted for CBSE Board 2021 Exams only

Example 31 (Supplementary NCERT) Important Deleted for CBSE Board 2021 Exams only

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.