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

The vectors \[\overrightarrow{AB}=3\mathbf{i}+4\mathbf{k},\] and \[\ov

1.	The vectors \[\overrightarrow{AB}=3\mathbf{i}+4\mathbf{k},\] and \[\overrightarrow{AC}=5\mathbf{i}-2\mathbf{j}+4\mathbf{k}\] are the sides of a triangle ABC. The length of the median through A is [AIEEE 2003]
A.	\[\sqrt{18}\]
B.	\[\sqrt{72}\]
C.	\[\sqrt{33}\]
D.	\[\sqrt{288}\]
Answer» D. \[\sqrt{288}\]

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

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