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

Transcript

Example 7 Find a vector in the direction of vector ๐‘Ž โƒ— = ๐‘– ฬ‚ โˆ’ 2๐‘— ฬ‚ that has magnitude 7 units. Given ๐’‚ โƒ— = ๐‘– ฬ‚ โ€“ 2๐‘— ฬ‚ = 1๐‘– ฬ‚ โ€“ 2๐‘— ฬ‚ + 0๐‘˜ ฬ‚ Magnitude of ๐’‚ โƒ— = โˆš(12+(โˆ’2)2+02) |๐’‚ โƒ— | = โˆš(1+4+0) = โˆš๐Ÿ“ Unit vector in direction of ๐‘Ž โƒ— = ๐Ÿ/(๐‘ด๐’‚๐’ˆ๐’๐’Š๐’•๐’–๐’…๐’† ๐’๐’‡ ๐’‚ โƒ— ) ร— ๐’‚ โƒ— ๐‘Ž ฬ‚ = 1/โˆš5 ["1" ๐‘– ฬ‚" + " 2๐‘— ฬ‚" + " 0๐‘˜ ฬ‚ ] ๐‘Ž ฬ‚ = 1/โˆš5 ๐‘– ฬ‚ โˆ’ 2/โˆš5 ๐‘— ฬ‚ Thus, Vector having a magnitude 1 = 1/โˆš5 ๐‘– ฬ‚ โˆ’ 2/โˆš5 ๐‘— ฬ‚ Vector having a magnitude 7 = 7[1/โˆš5 " " ๐‘– ฬ‚" โˆ’ " 2/โˆš5 " " ๐‘— ฬ‚" " ] = 7/โˆš5 " " ๐‘– ฬ‚" โˆ’ " 14/โˆš5 " " ๐‘— ฬ‚ Thus, required vector is ๐Ÿ•/โˆš๐Ÿ“ " " ๐’Š ฬ‚" โˆ’ " ๐Ÿ๐Ÿ’/โˆš๐Ÿ“ " " ๐’‹ ฬ‚

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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.