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MHT CET20243 May 2024Evening ShiftMathematicsVector AlgebraActual

If the vectors AB =3 i +4 k and AC =5 i -2 j +4 k are the sides of the triangle A B C , then the length of the median through A is

Options

  1. A45 units
  2. B18 units
  3. C72 units
  4. D33 units

Correct answer

D. 33 units

Step-by-step solution

Let A D be the median of A B C . aligned AD & = AB + AC 2 & = 8 i -2 j +8 k 2 & =4 i - j +4 k aligned | AD |= 4^2+1^2+4^2 = 33 units

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