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Beautiful! \(\vec{v}_{AC} = 1000 \hat \imath\), \(\vec{v}_{CB} = 50 \hat \jmath\). \(\vec{v}_{AB} = \vec{v}_{AC} + \vec{v}_{CB}\). From this, we get \(\vec{AB} = 1000 \hat{i} + 50 \hat{j}\)