Ex 10.3, 4 - Find projection of i + 3j + 7k on 7i - j + 8k

Advertisement

Ex 10.3, 4 - Chapter 10 Class 12 Vector Algebra - Part 2

Advertisement

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

Transcript

Ex 10.3, 4 Find the projection of the vector ๐‘– ฬ‚ + 3๐‘— ฬ‚ + 7๐‘˜ ฬ‚ on the vector 7๐‘– ฬ‚ - ๐‘— ฬ‚ + 8๐‘˜ ฬ‚ . Projection of vector ๐’‚ โƒ— on ๐’ƒ โƒ— = ๐Ÿ/|๐’ƒ โƒ— | (๐’‚ โƒ—. ๐’ƒ โƒ—) Let ๐‘Ž โƒ— = 1๐‘– ฬ‚ + 3๐‘— ฬ‚ + 7๐‘˜ ฬ‚ ๐‘ โƒ— = 7๐‘– ฬ‚ โ€“ 1๐‘— ฬ‚ + 8๐‘˜ ฬ‚ (๐’‚ โƒ— . ๐’ƒ โƒ—) = (1 ร— 7) + (3 ร— โˆ’1) + (7 ร— 8) = 7 + (โˆ’3) + 56 = 60 Magnitude of ๐‘ โƒ— = โˆš(72+(โˆ’1)2+82) |๐‘ โƒ— | = โˆš(49+1+64) = โˆš๐Ÿ๐Ÿ๐Ÿ’ Projection of ๐‘Ž โƒ— on ๐‘ โƒ— = 1/|๐‘ โƒ— | (๐‘Ž โƒ—. ๐‘ โƒ—) = 1/โˆš114 ร— 60 = 60/โˆš114 Thus projection of ๐‘Ž โƒ— on ๐‘ โƒ— = ๐Ÿ”๐ŸŽ/โˆš๐Ÿ๐Ÿ๐Ÿ’

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
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.