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Unformatted text preview: 42 PROBLEMS FOR CHAPTER 1 1 —1 2 c) u: 1 v: 2 w: 1 1 i 1 1 3 1 2 U 1 —l 10 0 d) 11: 3 ,v= 2 .w=(0); 5 —3 e) u=2i+3jw2k.v=iw2j+k,w=wi+jwk. 10. [R] A car travels 3km due North then 5km Northeast. Use coordinate vectors to find the distance and direction from the starting point. 11. [R] Solve Problems 6(a) and (b) using coordinate vectors. 31 G2 12. [R] Suppose that v 2 b1 and w = ()2 are vectors in R3; A and p. are real numbers. (.31 (32 Prove the scalar distributive law (A + Mv = Av + pv and the vector distributive law A(v +w) 2 Av + Aw. ...
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