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Unformatted text preview: 1 Math 2331 HW 1 Key Problem: If & = 1 3 5 , = 1 1 1 , = 1 1 2 = 1 , = 1 , = 1 a) & = . + . + . = b) & = . + . + . = c) Express & and as a linear combination of , and : & = + + = + d) Length of & = + + = . e) Length of & + = + + = since 3 2 5 1 v u + = . f) What is the cosine of the angle between & and ? Are they perpendicular? 9 3 105 cos( ) 35 35 3 v w v w = = = i No, not perpendicular since cos( ) . g) Use given vectors to fill in: __ i ___ and __ j ___ are perpendicular to each other. __ i ___ and __ k ___ are perpendicular to each other. __ j ___ and __ k ___ are perpendicular to each other. ___ u __ and __ w ___ are perpendicular to each other....
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This note was uploaded on 02/21/2012 for the course MATH 2331 taught by Professor Staff during the Spring '08 term at University of Houston.
 Spring '08
 Staff
 Math, Linear Algebra, Algebra

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