{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HOURexam1_solns

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

This preview shows pages 1–2. Sign up to view the full content.

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 + = + + + = + + + + + + = = × × v v v v v v v v v Given B e B B ˆ v v = 5 0 4 3 2 2 2 2 2 2 = + + = + + = z y x B B B B v , and ( ) j i j i B B e ˆ 8 . 0

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online