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MHT CET202013 Oct 2020Morning ShiftMathematicsVector AlgebraActual

If A B =3 +5 +4 k , A C =5 -5 +2 k represent the sides of triangle ABC , then the length of median through A is

Options

  1. A6 units
  2. B5 units
  3. C5 units
  4. D6 units

Correct answer

B. 5 units

Step-by-step solution

Given aligned AB AC &=3 i +5 j +4 k &=5 i -5 j +2 k aligned Let AD is median position vector of aligned AD &= (3 i +5 j +4 k )+(5 i -5 j +2 k ) 2 AD &=4 i +3 k | AD | &= 16+9 = 25 =5 aligned

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