A particle starts at the point with position vector −5i+7j−3k-5\mathbf{i}+7\mathbf{j}-3\mathbf{k}−5i+7j−3k. It then undergoes the displacement 3i−4j+2k3\mathbf{i}-4\mathbf{j}+2\mathbf{k}3i−4j+2k.
Find the position vector of the particle after the displacement.
Find its exact distance from the origin.