Ex 10.3, 1 - Find angle between two vectors a, b with magintudes root3

Ex 10.3, 1 - Chapter 10 Class 12 Vector Algebra - Part 2

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

Transcript

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

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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.