Consider the three vectors: u= V= 0 2 2 W = 2 3 (a) Describe geometrically (line, plane, or all of 3-dimensional space) the set of all linear combinations of u and v. Also, find the components of a general linear combination of u and v. (b) Describe geometrically the set of all linear combinations of v and w. Also, find the components of a general linear combination of v and w. (c) Which vectors in 3-dimensional space are linear combinations of u and v and also are linear combinations of v and w? (In other words, the intersection of two distinct in 3-dimensional space is a .)

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