Misc 14 - If a,b,c are mutually perpendicular vectors of equal - Miscellaneous

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  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Misc 14 If , , are mutually perpendicular vectors of equal magnitudes, show that the vector + + is equally inclined to , and . , , are of equal magnitudes, So, = = Also, , , are mutually perpendicular to each other So, . = . = . = 0 We need to show ( + + ) is equally inclined to , , ; So, cos = + + , cos = + + , cos = + + But = = Thus, cos = cos = cos = = Therefore, ( + + ) is equally inclined to , , .

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.