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Misc 16 If ฮธ is the angle between two vectors ๐‘Ž โƒ— and ๐‘ โƒ— , then ๐‘Ž โƒ— โ‹…๐‘ โƒ— โ‰ฅ 0 only when (A) 0 < ๐œƒ< ๐œ‹/2 (B) 0 โ‰ค ๐œƒ โ‰ค๐œ‹/2 (C) 0 < ๐œƒ < ฯ€ (D) 0 โ‰ค๐œƒ โ‰ค ๐œ‹ Given, ๐‘Ž โƒ—. ๐‘ โƒ— โ‰ฅ 0 |๐‘Ž โƒ— | |๐‘ โƒ— | cos ฮธ โ‰ฅ 0 Assuming |๐‘Ž โƒ— | โ‰  0 and |๐‘ โƒ— | โ‰  0 cos ฮธ โ‰ฅ 0/|๐‘Ž โƒ— ||๐‘ โƒ— | cos ฮธ โ‰ฅ 0 โˆด 0 โ‰ค ฮธ โ‰ค ๐œ‹/2 So, (B) is the correct answer

  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