Ex 10.2, 12 - Find direction cosines of i + 2j + 3k - Ex 10.2

Ex 10.2, 12 - Chapter 10 Class 12 Vector Algebra - Part 2

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

Transcript

Ex 10.2, 12 Find the direction cosines of the vector ๐‘– ฬ‚ + 2๐‘— ฬ‚ + 3๐‘˜ ฬ‚ . Let ๐‘Ž โƒ— = ๐‘– ฬ‚ + 2๐‘— ฬ‚ + 3๐‘˜ ฬ‚ = 1๐‘– ฬ‚ + 2๐‘— ฬ‚ + 3๐‘˜ ฬ‚ Direction ratios are a = 1, b = 2, c = 3 Magnitude of ๐‘Ž โƒ— = โˆš(12+2^2+3^2 ) |๐‘Ž โƒ— | = โˆš(1+4+9) = โˆš14 Direction cosines are (๐‘Ž/|๐‘Ž โƒ— | ,๐‘/|๐‘Ž โƒ— | ,๐‘/|๐‘Ž โƒ— | ) Direction cosines of ๐‘Ž โƒ— = (๐Ÿ/โˆš๐Ÿ๐Ÿ’,๐Ÿ/โˆš๐Ÿ๐Ÿ’,๐Ÿ‘/โˆš๐Ÿ๐Ÿ’)

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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.