The arms race demonstrated that the united states and the soviet union both wanted to stop the spread of nuclear weapons. had deep mistrust for one another. retained the friendship that had been built during world war ii. had declared themselves at war with one another.

The correct answer is they had deep mistrust for one another.

The arms race was a competition between the US and Soviet Union over military capabilities. This is one of the biggest reasons why the US became to develop the largest military in the world, as they were constantly trying to build bigger, stronger, and more efficent nuclear warheads.

This build up of arms was all based around the fear that the Soviet Union or the US would start fighting each other, leading to another world war.

had deep mistrust for one another.

Explanation:

The arms race started as important differences in opinion and ideology were present in the configuration of New world order after WWII.

The US was  pioneer in having nuclear warheads, and as the USSR demonstrated in 1949 they would embrace in a arms race that developed even deadlier weapons of mass destruction.

The mistrust was for the ever-present threat of any side imposing over the other into a direct war, and the competition between the two superpowers for expanding and attaining the global dominance was also carried into the Space race.

The Arms race probed that Space would be the next stage were supremacy would be fought and many innovations in technology and communications developed for making the possibility of mutual destruction eventually a series of countersteps in further increasing spendings in these agendas.