Example 17 - Chapter 10 Class 12 Vector Algebra (Term 2)
Last updated at May 6, 2021 by Teachoo
Transcript
Example 17 Find |๐ โ โ ๐ โ| , if two vectors a and b are such that |๐ โ| = 2, |๐ โ| = 3 and ๐ โ โ ๐ โ = 4. Given, |๐ โ | = 2 , |๐ โ | = 2 & ๐ โ. ๐ โ = 4 We need to find |๐ โโ๐ โ | Taking square, |๐ โโ๐ โ |2 = (๐ โโ๐ โ). (๐ โโ๐ โ) = ๐ โ . ๐ โ โ ๐ โ . ๐ โ โ ๐ โ. ๐ โ + ๐ โ . ๐ โ = ๐ โ . ๐ โ โ ๐ โ . ๐ โ โ ๐ โ . ๐ โ + ๐ โ . ๐ โ = ๐ โ. ๐ โ โ 2๐ โ . ๐ โ + ๐ โ. ๐ โ = |๐ โ |2 โ 2๐ โ. ๐ โ + |๐ โ |2 = 22 โ 2 ร 4 + 32 = 4 โ 8 + 9 = 5 Thus, |๐ โโ๐ โ |2 = 5 |๐ โโ๐ โ | = ยฑ โ5 Since magnitude is not negative, So, |๐ โโ๐ โ | = โ๐
Examples
Example 1
Important
Example 2 Important
Example 3 Important
Example 4
Example 5
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 You are here
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 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.