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

Transcript

Supplementary Exercise Q10 If the vectors ๐ด โƒ— = a๐‘– ฬ‚ + ๐‘— ฬ‚ + ๐‘˜ ฬ‚, ๐ต โƒ— = ๐‘– ฬ‚ + b๐‘— ฬ‚ + ๐‘˜ ฬ‚ and ๐ถ โƒ— = ๐‘– ฬ‚ + ๐‘— ฬ‚ + c๐‘˜ ฬ‚ are coplanar, then 1/(1โˆ’๐‘Ž) + 1/(1โˆ’๐‘) + 1/(1โˆ’๐‘) = 1, where a, b, c โ‰  1 Since Vectors ๐ด โƒ—, ๐ต โƒ—, ๐ถ โƒ— are coplanar , โˆด [๐ด โƒ—" " ๐ต โƒ—" " ๐ถ โƒ— ] = 0 [๐ด โƒ—" " ๐ต โƒ—" " ๐ถ โƒ— ] = |โ– 8(๐‘Ž&1&1@1&๐‘&1@1&1&๐‘)| 0 = a[(๐‘ร—๐‘)โˆ’(1ร—1) ] โˆ’ 1[(1ร—๐‘)โˆ’(1ร—1)] + 1[(1ร—1)โˆ’(1ร—๐‘) ] 0 = a [๐‘๐‘โˆ’1]โˆ’[๐‘โˆ’1]+1[1โˆ’๐‘] 0 = abc โ€“ a โ€“ c + 1 + 1 โ€“ b = 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 10 years. He provides courses for Maths and Science at Teachoo.