Given that the point A A\,A has position vector 3i+4j−2k3\mathbf{i} + 4\mathbf{j} - 2\mathbf{k}3i+4j−2k and the point B B\,B has position vector −4i+7j+5k-4\mathbf{i} + 7\mathbf{j} + 5\mathbf{k}−4i+7j+5k
Find the vector AB⃗\vec{AB}AB
Find ∣AB⃗∣|\vec{AB}|∣AB∣