The points A A\,A and B B\,B have position vectors a=7i−5j\mathbf{a} = 7\mathbf{i} - 5\mathbf{j}a=7i−5j and b=−2i+3j\mathbf{b} = -2\mathbf{i} + 3\mathbf{j}b=−2i+3j.
Find AB⃗\vec{AB}AB.
Find the exact distance ABABAB.