Let u and v be vectors in a vector space V, and let H be any subspace of V that contains both u and v. Explain why H also contains Span{u, v}. This shows that Span{u, v} is the smallest subspace of V that contains both u and v.

Amy is plan her school's new basketball court. the west edge of the basketball court is located on the line y = 5x + 2. the east edge cannot intersect with the west edge. on which line could the east edge be located? −y − 5x = 100 y + 5x = 100 −5x − y = 50 5x − y = 50