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

Transcript

Ex 10.3, 3 Find the projection of the vector ๐‘– ฬ‚ โˆ’ ๐‘— ฬ‚ on the vector ๐‘– ฬ‚ + ๐‘— ฬ‚ .Let ๐‘Ž โƒ— = ๐‘– ฬ‚ โˆ’ ๐‘— ฬ‚ = 1๐‘– ฬ‚ โ€“ 1๐‘— ฬ‚ + 0๐‘˜ ฬ‚ ๐‘ โƒ— = ๐‘– ฬ‚ + ๐‘— ฬ‚ = 1๐‘– ฬ‚ + 1๐‘— ฬ‚ + 0๐‘˜ ฬ‚ Projector of vector ๐’‚ โƒ— on ๐’ƒ โƒ— = ๐Ÿ/|๐’ƒ โƒ— | (๐’‚ โƒ— . ๐’ƒ โƒ—) Now, ๐’‚ โƒ— . ๐’ƒ โƒ— = (1 ร— 1) (โˆ’1 ร— 1) + (0 ร— 0) = 1 + (โˆ’1) + 0 = 0 Also, Magnitude of ๐‘ โƒ— = โˆš(12+12+02) |๐‘ โƒ— | = โˆš(1+1+0) = โˆš2 Projection of ๐‘Ž โƒ— on ๐‘ โƒ— = 1/|๐‘ โƒ— | (๐‘Ž โƒ— . ๐‘ โƒ—) = 1/โˆš2 (0) = 0

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.