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AP EAMCET2011MathematicsVector Algebra

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

Options

  1. A14
  2. B18
  3. C25
  4. D29

Correct answer

B. 18

Step-by-step solution

Position vector of AD aligned & = 1(-3 i +4 k )+1(5 i -2 j +4 k ) 1+1 & = i - j +4 k & | AD |= 1+1+16 = 18 aligned

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