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

  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Example 9 Write the direction ratio’s of the vector π‘ŽΒ βƒ— = 𝑖 ̂ + 𝑗 ̂ βˆ’ 2π‘˜Β Μ‚ and hence calculate its direction cosines. π‘ŽΒ βƒ— = 𝑖 ̂ + 𝑗 ̂ – 2π‘˜Β Μ‚ = 1𝑖 ̂ + 1𝑗 ̂ – 2π‘˜Β Μ‚ Directions ratios are 𝒂 = 1 , b = 1 , c = –2 Magnitude of π‘ŽΒ βƒ— = √(1^2+1^2+(βˆ’2)^2 ) |π‘Ž| = √(1+1+4) = √6 The directions cosines of π‘ŽΒ βƒ— are (π‘Ž/|π‘ŽΒ βƒ— | ,𝑏/|π‘ŽΒ βƒ— | ,𝑐/|π‘ŽΒ βƒ— | ) = (𝟏/βˆšπŸ”,𝟏/βˆšπŸ”,(βˆ’πŸ)/βˆšπŸ”)

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