Hello, The will is closer to action then the intention. Will expresses more determination and insistence with a settled mind to do something ,while the intention is to have something in mind (not made up yet) as a purpose or goal. The time span between the will and the action is shorter than that between the intention and the action . " i will buy this car " That reflects a decision made to buy it in the near future . When in the shop holding a commodity and settling your mind on buying it ,you would tell the shopkeeper " i will take it " . So the decision is made and you are buying it in an instant . While : " I intend to spend the summer vacation in Paris" You could be saying that in the spring time , having this idea in your mind not as a last decision but as an alternative or a choice you favor but could possibly change. I hope those examples are sufficient :)

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