American arrival in Vietnam

We know that the Americans got involved in the Vietnam War against the North Vietcong, but it all started when it was still french territory before World War 2. The Japanese have been invading Indochina (Cambodia, Laos, Vietnam, etc.) the French had lost the territory, not being able to support a colonized territory, half-way around the world. After the start and to the end of World War 2, the Japanese did lose the war and give up Indochina, where the French attempted to regained control on Vietnam. In 1954, the french invasion or battle to get Vietnam under control was called Dien Bien Phu, and it failed drastically for the French. It was in fact the first time a weak, unstable and poor country defeated an industrialized colonizing powerful country. Later after the defeat, there were suppose to be elections held in Vietnam, but this is where the American get involved. The U.S. already knew that the communist were likely to win the election and because of U.S.'s concern on containment and fear of the domino theory, it just gets the Americans to Vietnam more and more by U.S. President Kennedy. At the time, Vietnam was split into two designations, being North (the communists) and South (the non-communist). In the North, the person who lead the liberation of North Vietnam, NV Leader Ho Chi Minh, has looked at as a hero and someone who could save the Vietnamese people. The goal of the Vietcong was to overthrow the South Vietnamese government and Diem. In order to prevent this, the U.S. responds by getting advisors in Vietnam and "fix" the South Vietnamese government. It wasn't until one incident when the U.S. gets very involved with Vietnam. In the Gulf of Tonkin incident, there were to supposed naval attack attempts by the North Vietnamese to the U.S.. From this point on, the U.S. sends troops to Vietnam and protect South Vietnam. The way this war was being fought was the Vietcong attacking and invading the South while the U.S. can't invade the North because it could infuriate the Soviet Union and get them to fight the U.S. in the Cold War era, which most likely will be a nuclear war. Plus the U.S. just got out of the Cuban Missile Crisis. This is why this war was so drastic since the U.S. was fighting to war to not lose, in which you would lose without the option of winning.