Ex 10.2, 6 - Find sum of vectors a = i - 2j + k, b = - Addition(resultant) of vectors

  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Ex 10.2, 6 Find the sum of the vectors ๐‘Ž๏ทฏ = ๐‘–๏ทฏ โˆ’ 2 ๐‘—๏ทฏ + ๐‘˜๏ทฏ, ๐‘๏ทฏ = โˆ’2 ๐‘–๏ทฏ + 4 ๐‘—๏ทฏ + 5๐‘˜ and ๐‘๏ทฏ = ๐‘–๏ทฏ โ€“ 6 ๐‘—๏ทฏ โˆ’ 7 ๐‘˜๏ทฏ. ๐‘Ž๏ทฏ = ๐‘–๏ทฏ โˆ’ 2 ๐‘—๏ทฏ + ๐‘˜๏ทฏ, ๐‘๏ทฏ = โˆ’2 ๐‘–๏ทฏ + 4 ๐‘—๏ทฏ + 5๐‘˜ ๐‘๏ทฏ = ๐‘–๏ทฏ โ€“ 6 ๐‘—๏ทฏ โˆ’ 7 ๐‘˜๏ทฏ. Now, ( ๐‘Ž๏ทฏ + ๐‘๏ทฏ + ๐‘๏ทฏ) = (1 โ€“ 2 + 1) ๐‘–๏ทฏ + (-2 + 4 โ€“ 6) ๐‘—๏ทฏ + (1 + 5 โ€“ 7) ๐‘˜๏ทฏ = 0 ๐‘–๏ทฏ โ€“ 4 ๐‘—๏ทฏ โ€“ ๐‘˜๏ทฏ = โ€“ 4 ๐‘—๏ทฏ โ€“ ๐‘˜๏ทฏ โˆด Sum of vectors ๐‘Ž๏ทฏ , ๐‘๏ทฏ and ๐‘๏ทฏ = โ€“ 4 ๐’‹๏ทฏ โ€“ ๐’Œ๏ทฏ

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