The term 'Begin with Vigor' can be represented by two crossword solutions: BRIO (4 letters) and VIM (3 letters). BRIO is a Latin word meaning 'full of life, vigor, or spirit'. It is often used to describe someone who is enthusiastic and energetic. VIM is an old English word meaning 'vigorous energy or enthusiasm'. It is often used to describe someone who is full of life and vitality. Together, these two words represent the idea of starting something with enthusiasm and energy.