Example 13 - Chapter 10 Class 12 Vector Algebra (Term 2)
Last updated at May 6, 2021 by Teachoo
Transcript
Example 13 Find the angle between two vectors ๐ โ and ๐ โ with magnitudes 1 and 2 respectively and when ๐ โ โ ๐ โ =1. "Given |" ๐ โ"| = 1 , |" ๐ โ"| = 2 , " "and " ๐ โ". " ๐ โ" = 1" We know that ๐ โ . ๐ โ = "|" ๐ โ"|" "|" ๐ โ"|" cos ฮธ where ฮธ is the angle between ๐ โ and ๐ โ Putting values in formula ๐ โ . ๐ โ = "|" ๐ โ"|" "|" ๐ โ"|" cos ฮธ 1 = 1 ร 2 ร cos ฮธ cos ฮธ = 1/2 cos ฮธ = cos ๐ /๐ So, ฮธ = ๐ /๐ Thus angle b/w ๐ โ and ๐ โ is ๐/3 .
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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.