Given that the point A A\,A has position vector 2i−6j2\mathbf{i} - 6\mathbf{j}2i−6j and the point B B\,B has position vector −4i+7j-4\mathbf{i} + 7\mathbf{j}−4i+7j
Find the vector AB⃗\vec{AB}AB
Find ∣AB⃗∣|\vec{AB}|∣AB∣
Give your answer as a surd.
