question_answer

The vectors \[AB=3\hat{i}+4\hat{k}\] and \[AC=5\,\hat{i}-2\,\hat{j}+4\,\hat{k}\] are the sides of a \[\Delta ABC\]. The length of the median through A is     AIEEE  Solved  Paper-2003

A)                                         \[\sqrt{18}\]                      

B)       \[\sqrt{72}\]                      

C)       \[\sqrt{33}\]      

D)       \[\sqrt{288}\]

Correct Answer: C

Solution :

                Let D be mid-point of SC.                                                                                     Length of