Unformatted text preview: of the roots of 2 x 3 + 3 x 2 + 2 x . [2] 4. Let x = 2 3 , y = 11 1 and z = 3 33 . [6] a) Find proj y ( x ), the projection of x onto y . b) Find proj z ( x ), the projection of x onto z . c) Find the angle between x and y . 5. Let u , v , w be arbitrary vectors in R 3 . Prove that ( u + v ) · w = u · w + v · w . Note that it is not [4] enough to check an example, you must prove it in general. Show your steps! [ /22] 1...
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 Spring '11
 STADNIK
 Complex number, cartesian form, real polynomial, arbitrary vectors, loose sheets, Staple your assignment

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