How did political divisions during the cold war affect the korean war, the cuban missile crisis, and the vietnam war?

We started the Korean War to prevent the spread of Communism because we associated Communism with Russia and we didn't like Russia.

The Cuban Missile Crisis was Russia getting ballsy and really mad at us (Likely due to us having missiles in Turkey that could hit them)

And the Vietnam War was started for the same reason as the Korean War.

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