Unformatted text preview: , 1) and b = (1 , 2 ,3) in R 3 (the set of vectors with 3 components). Compute the following: (a) a + b (b) 2 a (c) ab (d) a Â· b (e) k b k 3. Describe and sketch the following set of points { s a : s âˆˆ [0 , 1] } where a is a nonzero vector in R 2 . That is, the set of scalar multiples of a where the scalar is between 0 and 1 inclusive. 4. Let a = (2 , 2 , 1) and b = (1 , 1 ,2). Compute the following: (a) The angle between a and b . (b) proj a b (the projection of b in the direction of a ). 5. Determine the values of c 1 and c 2 such that the vector [ c 1 1 c 2 ] is a scalar multiple of [1 2 âˆš 2]....
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 Spring '08
 Caddmen
 Math, Linear Algebra, Vector Space, base point, Sketch axes

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