homework2sol.20100208.4b70480ab7cc40.34994098

homework2sol.20100208.4b70480ab7cc40.34994098 - v 1 v 2 v 3...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
TAM 412, Homework 2, Selected answers Harry Dankowicz Mechanical Science and Engineering University of Illinois at Urbana-Champaign danko@illinois.edu 3. Recall that det ( AB )=de t A det B , det ( A )=( 1) n det A ,and det A T =de t A . Also, note that Av = λ v for some column matrix v and scalar λ if and only if det ( A λ I )=0 . Finally, recall that v = v 1 e 1 + v 2 e 2 + v 3 e 3 v 1 ˜ e 1 v 2 ˜ e 2 v 3 ˜ e 3 implies that H
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: v 1 v 2 v 3 = v 1 v 2 v 3 . 4. Since v has the same components relative to T and e T , it follows that the relationship between these two triads is a rotation about an axis parallel to v . 5. (d) This is the angle of rotation between T and e T about the axis parallel to v . 7. 1...
View Full Document

This note was uploaded on 11/17/2011 for the course TAM 412 taught by Professor Weaver during the Spring '08 term at University of Illinois, Urbana Champaign.

Ask a homework question - tutors are online