HOURexam1_solns - TAM 210/211 Fall, 2004 Section BL1 Exam1,...

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TAM 210/211 Fall, 2004 Section BL1 Name: solutions Exam1, Monday, September 13, 2004, 1pm Section: To receive all credit, show all your work 3 problems 1. For the three vectors i A ˆ 5 = v , j i B ˆ 4 ˆ 3 + = v , and k j i C ˆ ˆ ˆ + + = v find each of the following (5 pts each): j i j i B A ˆ 4 ˆ 8 ˆ ) 4 0 ( ˆ ) 3 5 ( + = + + + = + v v j i j i B A ˆ 4 ˆ 2 ˆ ) 4 0 ( ˆ ) 3 5 ( = + = v v 15 0 0 4 0 3 5 = + + = B A v v k j i k j i k j i C A ˆ 5 ˆ 5 0 ˆ 1 1 0 5 ˆ 1 1 0 5 ˆ 1 1 0 0 1 1 1 0 0 5 ˆ ˆ ˆ + = + = = × v v You can also do this without determinates using the distributive property: ( ) j k k i j i i i k j i i C A ˆ 5 ˆ 5 0 ˆ ˆ 5 ˆ ˆ 5 ˆ ˆ 5 ˆ ˆ ˆ ˆ 5 + = × + × + × = + + × = × v v () () () ( )( ) ( ) ( ) ( )( ) ( ) ( ) () ( ) k j i k j i j i j i i k j i k j i i j i B A C C A B C B A ˆ 15 ˆ 5 ˆ 0 15 ˆ ˆ ˆ 5 ˆ 4 ˆ 3 ˆ 4 ˆ 3 ˆ 5 ˆ ˆ ˆ ˆ ˆ ˆ ˆ 5 ˆ 4 ˆ 3 + = + + + = + + + + + + = = × ×
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This homework help was uploaded on 04/07/2008 for the course TAM 211 taught by Professor Downing during the Fall '05 term at University of Illinois at Urbana–Champaign.

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HOURexam1_solns - TAM 210/211 Fall, 2004 Section BL1 Exam1,...

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