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Question

Mathematics Question on Vectors

The vectors AB=3i^+4k^\overrightarrow {AB}=3\hat i+4\hat k and AC=5i^2j^+4k^\overrightarrow {AC}=5\hat i-2\hat j+4\hat k are the sides of a △ABC. The length of the median through A is

A

18\sqrt{18}

B

72\sqrt{72}

C

33\sqrt{33}

D

288\sqrt{288}

Answer

33\sqrt{33}

Explanation

Solution

The correct answer is Option (C) : 33\sqrt{33}