If the vectors `vec(A) B = 3 hat(i)+4 hat (k) and vec(AC) = 5 hat(i)-2 hat(j)+4hat(k)`

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If the vectors `vec(A) B = 3 hat(i)+4 hat (k) and vec(AC) = 5 hat(i)-2 hat(j)+4hat(k)` are the sides of a triangle ABC, then the length of the median through A is
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