The Gulf of Tonkin incident occurred in the Gulf of Tonkin off of the coast of North Vietnam.
The citizens were told the North Vietnamese communists violently attacked a US ship which was peacefully existing to aid South Vietnam. It was presented as a direct threat to the US and a means for war.
The ship was in North Vietnamese territory and was alone away from the rest of the US fleet in South Vietnam. The US was not peaceful as they were attacking the North and supplying the South putting them directly in the war.
Per the Constitution--war is to be asked for by the executive and approved by Congress with an official declaration of war. However, the Gulf of Tonkin Resolution gave permission to Johnson to use war materials and practices without an official declaration of war. This prevented allies from entering the war but allowed the US to engage in war behavior under the executive orders.
Explanation:
As late as the beginning of the nineteenth century, despite the many years of direct contact with European traders and the influx of European goods, most African societies still produced their own iron and its products, or obtained them from neighbouring communities through local trade. The quality of iron products was such that, despite competition from European imports, local iron production survived into the early twentieth century in some parts of the continent. This was the case at Yatenga in modern-day Burkina Faso, where in 1904 there were as many as 1,500 smelting furnaces in production. The production process covered prospecting, mining, smelting and forging. Different types of ore were available all over the continent and were extracted by shallow or alluvial mining. A variety of skills were required for building furnaces, producing charcoal, smelting and forging iron into goods. Iron production was generally not an enclave activity but a process that fulfilled the totality of socio-economic needs. It also fitted the gender division of labour within communities.
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Marbury petitioned the Supreme Court to force the new Secretary of State, James Madison, to deliver the documents. The Court, with John Marshall as Chief Justice, found firstly that Madison's refusal to deliver the commission was both illegal and correctible. Nonetheless, the Court stopped short of ordering Madison (by writ of mandamus) to hand over Marbury's commission, instead holding that the provision of the Judiciary Act of 1789 that enabled Marbury to bring his claim to the Supreme Court was itself unconstitutional, since it purported to extend the Court's original jurisdiction beyond that which Article III established. The petition was therefore denied.
I'm not sure if that helped, but good luck :)