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AP EAMCET202317 May 2023Evening ShiftMathematicsVector AlgebraActual

If the position vectors of the points A and B are 2 i +3 j - k and i - j +2 k respectively, then the unit vector along BA and in the direction of AB is

Options

  1. A1 14 (3 i +2 j + k )
  2. B1 26 (- i -4 j +3 k )
  3. C1 26 (-3 i -4 j + k )
  4. D1 22 (3 i -4 j +3 k )

Correct answer

B. 1 26 (- i -4 j +3 k )

Step-by-step solution

AB =- i -4 j +3 k So, BA = i -4 j +3 k Unit vector along BA and in direction AB is = AB | BA | = - i -4 j +3 k 1+16+9 = - i -4 j +3 k 26

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