Login

Welcome, Guest. Please login or register.

November 01, 2025, 07:58:54 pm

Author Topic: angle vector questions  (Read 662 times)  Share 

0 Members and 1 Guest are viewing this topic.

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
angle vector questions
« on: December 22, 2008, 12:34:57 am »
0
1. Show that, if a vector in three dimensions makes angles a, b , c respectively with the x, y, z axes, then cos^2a + cos^2b + cos^2c = 1

« Last Edit: December 22, 2008, 02:07:46 pm by TrueTears »
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

:)

  • Victorian
  • Adventurer
  • *
  • Posts: 22
  • Respect: +1
Re: angle vector questions
« Reply #1 on: February 07, 2009, 11:18:38 pm »
0
I was also wondering how to do this question, anyone?

Mao

  • CH41RMN
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 9181
  • Respect: +390
  • School: Kambrya College
  • School Grad Year: 2008
Re: angle vector questions
« Reply #2 on: February 07, 2009, 11:29:01 pm »
0
(x,y,z) has a modulus of

then,

the unit vector is hence , which has a magnitude of 1.





QED
Editor for ATARNotes Chemistry study guides.

VCE 2008 | Monash BSc (Chem., Appl. Math.) 2009-2011 | UoM BScHon (Chem.) 2012 | UoM PhD (Chem.) 2013-2015