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AB = 3i + 4k, AC = 5i - 2j + 4k: length of the median through A

The same question, asked 2 times: 3 May 2023 S2, 16 May 2023 S1. Every wording below, oldest first.

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  1. Question 1

    3 May 2023 S2

    122
    If 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 the triangle ABC, then the length of the median through A is

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  2. Question 2

    16 May 2023 S1

    129
    If 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 the triangle ABC, then the length of the median, through A, is

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