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MHT CET202416 May 2024Morning ShiftMathematicsVector AlgebraActual

If the vectors AB =3 i +4 k and AC =5 i -2 j +4 k are the sides of the triangle ABC , 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 & = 3 i +4 k +5 i -2 j +4 k 2 & = 8 i -2 j +8 k 2 & =4 i - j +4 k | AD | & = 4^2+(-1)^2+4^2 = 33 units aligned

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