Example 9 - Write direction ratio's of a = i + j - 2k - Examples

Example 9 - Chapter 10 Class 12 Vector Algebra - Part 2

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

Transcript

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”)

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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.