Given that the point A A\,A has position vector −5i+7j−3k-5\mathbf{i} + 7\mathbf{j} - 3\mathbf{k}−5i+7j−3k and the point B B\,B has position vector −8i+2j−k-8\mathbf{i} + 2\mathbf{j} - \mathbf{k}−8i+2j−k
Find the vector AB⃗\vec{AB}AB
Find ∣AB⃗∣|\vec{AB}|∣AB∣