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AP EAMCET202318 May 2023Morning ShiftMathematicsVector AlgebraActual

If a = i +2 j -3 k and b =2 i -3 j -5 k , then

Options

  1. A| a - b |>| a |+| b |
  2. B| a - b |>| b |-| a |
  3. C| a + b | < | a - b |
  4. D|| a |-| b |>| a - b

Correct answer

B. | a - b |>| b |-| a |

Step-by-step solution

a = j +2 j -3 k , b =2 i -3 j -5 k aligned & a - b =- i +5 j +2 k | a - b |= 1+25+4 = 30 & | a |= 1+4+9 = 14 | b |= 4+9+25 = 38 & | a - b |>| b |-| a | aligned

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