math111hw2 - MATH111 HW 2 Due Date: 24th, Sept, 2007 (Mon)...

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Unformatted text preview: MATH111 HW 2 Due Date: 24th, Sept, 2007 (Mon) Please hand in your HW to me in my tutorial session or Put it in the collection box outside MATH dept (Rm 3461, Lift 25-26) Ch1.3 # 4 Given u = 3 2 , v = 2- 1 Display the following vectors using arrows on an xy-graph: u , v ,- v ,- 2 v , u + v , u- v , and u- 2 v . Notice that u- v is the vertex of a parallelogram whose other vertices are u , , and- v . Ch1.3 # 10 Write the vector equation that is equivalent to the given system of equa- tions. 4 x 1 + x 2 + 3 x 3 = 9 x 1- 7 x 2- 2 x 3 = 2 8 x 1 + 6 x 2- 5 x 3 = 15 Ch1.3 # 18 Let v 1 = 1- 2 , v 2 = - 3 1 8 , and y = h- 5- 3 . For what value(s) of h is y in the plane generated by v 1 and v 2 ? Ch1.4 # 4 Compute the following product using (a) the definition as in Example 1 of the book, and (b) the row-vector rule for computing A x . If a product is undefined, explain why....
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math111hw2 - MATH111 HW 2 Due Date: 24th, Sept, 2007 (Mon)...

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