Login

Search the forums now!

Welcome, Guest. Please login or register.

October 21, 2025, 08:42:15 pm
Pages: [1]   Go Down

Author Topic: unit vector bisecting angle  (Read 4133 times)  Share 

0 Members and 1 Guest are viewing this topic.

/0

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4124
  • Respect: +45
unit vector bisecting angle
« on: December 09, 2008, 09:30:07 am »
0
A and B are defined by the position vectors and .

a) Find: i)   ii)

b) Find the unit vector which bisects .

I can do the first two no probs, but I'm having trouble with part b) Thanks!

Also, is there a way of finding the unit vector which divides in other ratios like trisection?
« Last Edit: December 09, 2008, 10:13:51 am by DivideBy0 »
Logged

Collin Li

  • VCE Tutor
  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4957
  • Respect: +17
Re: unit vector bisecting angle
« Reply #1 on: December 09, 2008, 10:28:03 am »
0
will bisect .

If you add two vectors of equal magnitude together (which is why we made them unit vectors), you will "blend" their directions to get exactly half-way in between them (the bisector). Then, divide by the magnitude and you will have the unit vector which bisects
« Last Edit: December 09, 2008, 10:31:09 am by coblin »
Logged

/0

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4124
  • Respect: +45
Re: unit vector bisecting angle
« Reply #2 on: December 09, 2008, 11:21:26 am »
0
ah... thanks coblin!
Logged

unknown id

  • Victorian
  • Trendsetter
  • **
  • Posts: 131
  • Respect: +1
Re: unit vector bisecting angle
« Reply #3 on: December 09, 2008, 11:31:44 am »
0
Totally unrelated but /0, it seems that you're intent on remaining on a 999 post count...  :P
« Last Edit: December 09, 2008, 11:35:25 am by unknown id »
Logged
VCE Outline:
2007:   Accounting [48]

2008:   English [44], Maths Methods [50], Specialist Maths [41], Chemistry [50], Physics [44]

ENTER: 99.70




cobby

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1437
  • Respect: +7
Re: unit vector bisecting angle
« Reply #4 on: December 09, 2008, 11:38:03 am »
0
Quote from: unknown id on December 09, 2008, 11:31:44 am
Totally unrelated but /0, it seems that you're intent on remaining on a 999 post count...  :P
Unkown i like your "double posting" animation :P...had to say it, back to the topic now
Logged
2008 - Economics
2009 - Maths Methods CAS
          English
          I.T Apps
          P.E

Collin Li

  • VCE Tutor
  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4957
  • Respect: +17
Re: unit vector bisecting angle
« Reply #5 on: December 09, 2008, 11:46:53 am »
0
The derailment of Specialist Mathematics topics these days...
Logged
Pages: [1]   Go Up