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Example 9 Write the direction ratio’s of the vector π‘Ž βƒ— = 𝑖 Μ‚ + 𝑗 Μ‚ βˆ’ 2π‘˜ Μ‚ and hence calculate its direction cosines. Given π‘Ž βƒ— = 𝑖 Μ‚ + 𝑗 Μ‚ – 2π‘˜ Μ‚ = 1𝑖 Μ‚ + 1𝑗 Μ‚ – 2π‘˜ Μ‚ Directions ratios are 𝒂 = 1 , b = 1 , c = –2 Magnitude of π‘Ž βƒ— = √(1^2+1^2+(βˆ’2)^2 ) |𝒂| = √(1+1+4) = βˆšπŸ” The directions cosines of π‘Ž βƒ— are (π‘Ž/|π‘Ž βƒ— | ,𝑏/|π‘Ž βƒ— | ,𝑐/|π‘Ž βƒ— | ) = (𝟏/βˆšπŸ”,𝟏/βˆšπŸ”,(βˆ’πŸ)/βˆšπŸ”)

  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