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Ex 10.3, 1 Find the angle between two vectors ๐‘Ž โƒ— and ๐‘ โƒ— with magnitudes โˆš3 and 2 ,respectively having ๐‘Ž โƒ— โ‹…๐‘ โƒ— = โˆš6 . ๐‘Ž โƒ— . ๐‘ โƒ— = "|" ๐‘Ž โƒ—"|" "|" ๐‘ โƒ—"|" cos ฮธ where ฮธ is the angle between ๐‘Ž โƒ— and ๐‘ โƒ— Given, |๐‘Ž โƒ— | = โˆš3, |๐‘ โƒ— | = 2 and ๐‘Ž โƒ—. ๐‘ โƒ— = โˆš6 Putting values in formula ๐‘Ž โƒ—. ๐‘ โƒ— = |๐‘Ž โƒ— ||๐‘ โƒ— | cos ฮธ โˆš6 = โˆš3 ร— 2 ร— cos ฮธ โˆš3 ร— โˆš2 = โˆš3 ร— โˆš2 ร— โˆš2 ร— cos ฮธ cos ฮธ = 1/โˆš2 ฮธ = ๐…/๐Ÿ’ Thus, the angle ๐‘Ž โƒ— and ๐‘ โƒ— is ๐œ‹/4

  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo