# S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
 It is currently Tue, 2 Sep 2014 22:18:10 UTC

 All times are UTC [ DST ]

 Page 1 of 1 [ 2 posts ]
 Print view Previous topic | Next topic
Author Message
 Posted: Thu, 10 May 2012 15:40:59 UTC
 Member

Joined: Wed, 15 Feb 2012 07:19:33 UTC
Posts: 31
Let and

Let P be the point that corresponds to z.

The point Q that corresponds to the complex number zw is obtained by
1) scaling of the distance OP by the factor k, followed by,
2) rotating the point P anticlockwise about the origin through the angle

If k < 0, then scaling of distance from the origin by a factor of |k| will be in the opposite direction.

My issue: this is from some notes I have from school and I don't understand the last sentence. What does it mean, "scaling of distance will be in the opposite direction"?

thank you!

Top

 Posted: Thu, 10 May 2012 19:23:51 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 14009
Location: Austin, TX
thesocialnetwork wrote:
Let and

Let P be the point that corresponds to z.

The point Q that corresponds to the complex number zw is obtained by
1) scaling of the distance OP by the factor k, followed by,
2) rotating the point P anticlockwise about the origin through the angle

If k < 0, then scaling of distance from the origin by a factor of |k| will be in the opposite direction.

My issue: this is from some notes I have from school and I don't understand the last sentence. What does it mean, "scaling of distance will be in the opposite direction"?

thank you!

If k<0 then write then use that and you get your original case with which, of course, means you scale by |k| and the bit of the angle forces you another 180 degree rotation, which is in the opposite direction of the original.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 2 posts ]

 All times are UTC [ DST ]

#### Who is online

Users browsing this forum: No registered users

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forum

Search for:
 Jump to:  Select a forum ------------------ High School and College Mathematics    Algebra    Geometry and Trigonometry    Calculus    Matrix Algebra    Differential Equations    Probability and Statistics    Proposed Problems Applications    Physics, Chemistry, Engineering, etc.    Computer Science    Math for Business and Economics Advanced Mathematics    Foundations    Algebra and Number Theory    Analysis and Topology    Applied Mathematics    Other Topics in Advanced Mathematics Other Topics    Administrator Announcements    Comments and Suggestions for S.O.S. Math    Posting Math Formulas with LaTeX    Miscellaneous