Slide34.JPG

Slide35.JPG

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

Transcript

Supplementary Exercise Q6 if ๐‘– ฬ‚, ๐‘— ฬ‚ and ๐‘˜ ฬ‚ are three mutually perpendicular vectors, prove that ๐‘– ฬ‚.(๐‘˜ ฬ‚ร—๐‘— ฬ‚ ) = ๐‘— ฬ‚.(๐‘– ฬ‚ร—๐‘˜ ฬ‚ ) = ๐‘˜ ฬ‚.(๐‘— ฬ‚ ร— ๐‘– ฬ‚) = โˆ’1 Here, ๐‘– ฬ‚ = 1๐‘– ฬ‚ + 0๐‘— ฬ‚ + 0๐‘˜ ฬ‚ ๐‘— ฬ‚ = 0๐‘– ฬ‚ + 1๐‘— ฬ‚ + 0๐‘˜ ฬ‚ ๐‘˜ ฬ‚ = 0๐‘– ฬ‚ + 0๐‘— ฬ‚ + 1๐‘˜ ฬ‚ ๐’Š ฬ‚.(๐’Œ ฬ‚ร—๐’‹ ฬ‚ ) = [โ– 8(๐‘– ฬ‚&๐‘˜ ฬ‚&๐‘— ฬ‚ )] = [โ– 8(1&0&0@0&0&1@0&1&0)] = 1(0 โ€“ 1) โ€“ 0(0 โ€“ 0) + 0(0 โ€“ 0) = โ€“1 ๐’‹ ฬ‚.(๐’Š ฬ‚ร—๐’Œ ฬ‚ ) = [โ– 8(๐‘— ฬ‚&๐‘– ฬ‚&๐‘˜)] = [โ– 8(0&1&0@1&0&0@0&0&1)] = 0(0 โ€“ 0) โ€“ 1(1 โ€“ 0) + 0(0 โ€“ 0) = โ€“1 ๐’Œ ฬ‚.(๐’‹ ฬ‚ร—๐’Š ฬ‚ ) = [โ– 8(๐‘˜ ฬ‚&๐‘— ฬ‚&๐‘– ฬ‚ )] = [โ– 8(0&0&1@0&1&0@1&0&0)] = 0(0 โ€“ 0) โ€“ 0(0 โ€“ 0) + 1(0 โ€“ 1) = โ€“1

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.