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Question

Mathematics Question on Vector Algebra

The two vectors i^+j^+k^\hat{i}+\hat{j}+\hat{k} and i^+3j^+5k^\hat{i}+3\hat{j}+5\hat{k} represent the two sides AB\vec{AB} and AC\vec{AC} respectively of a ΔABC. The length of the median through A is

A

142\frac{\sqrt{14}}{2}

B

14

C

7

D

14\sqrt{14}

Answer

14\sqrt{14}

Explanation

Solution

The correct answer is (D) : 14\sqrt{14}.