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

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

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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”)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.