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
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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.