If `A D` is the median of ` A B C ,` using vectors, prove that `A B^2+A C^2=2(A D^2+C D^2)dot`

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In a triangle ABC, if AD is the median, then show that AB^2 +AC ^2=2(AD^2 +BD^2) In a triangle ABC, if AD is the median, then show that AB^2 +AC ^2=2(AD^2 +BD^2)
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