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.

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Example 26 (Supplementary NCERT) Deleted for CBSE Board 2022 Exams

Example 27 (Supplementary NCERT) Deleted for CBSE Board 2022 Exams

Example 28 (Supplementary NCERT) Important Deleted for CBSE Board 2022 Exams

Example 29 (Supplementary NCERT) Important Deleted for CBSE Board 2022 Exams

Example 30 (Supplementary NCERT) Important Deleted for CBSE Board 2022 Exams

Example 31 (Supplementary NCERT) Important Deleted for CBSE Board 2022 Exams

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.