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Unformatted text preview: a = (1 , 2) and b = (1 ,2) in R 2 (the set of vectors with 2 components). Compute the following: (a) a + b (b) 2 a (c) ab (d) a b (e) k b k 3. Describe and sketch the following set of points { s a : s R } (that is, the set of all scalar multiples of a ) where a is a nonzero vector in R 2 . 4. Let a = (1 , 1 , 1) and b = (3 , 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 [2 2 3]....
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 Spring '11
 ghona

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