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A parallelogram ABCD. Prove that vec(AC)...

A parallelogram ABCD. Prove that `vec(AC)+ vec (BD) = 2 vec(BC)`'

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To prove that \(\vec{AC} + \vec{BD} = 2 \vec{BC}\) in a parallelogram ABCD, we will follow these steps: ### Step 1: Define the vectors In a parallelogram ABCD, we can define the vectors as follows: - Let \(\vec{AB} = \vec{u}\) - Let \(\vec{BC} = \vec{v}\) From the properties of a parallelogram, we know: ...
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