finding components of a given vector - riddle of the day
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From: JEMebius on 13 Jan 2010 10:32 William Elliot wrote: > On Tue, 12 Jan 2010, aegis wrote: > >> Suppose I have the vector r = OP where OP represents a vector >> beginning from the origin and ending at some point, say P(x,y). >> > So r is a vector in R^2. > >> How could I express the components >> in terms of theta_1 and theta_2? >> > Why do you think we're mind readers? > What's theta_1 and theta_2? > >> Am I just pretending that there is a second angle subtended by the >> vector? i.e., that the zero vector subtends some angle, say theta_1 >> and that the ray from O to P subtends some other angle, say theta_2? >> > You're not making sense. > Define what you mean by subtending an angle? > It takes two vectors to determine an angle. > > Riddle of the day. What's the direction of the zero vector? > > "Riddle of the day. What's the direction of the zero vector?" By experiment: watch the map display and the speed and heading data on your GPS when you are at rest! Or did mr Aegis perhaps mean angles like geographic latitude and longitude? Good luck: Johan E. Mebius
From: William Elliot on 14 Jan 2010 02:44
On Wed, 13 Jan 2010, JEMebius wrote: > William Elliot wrote: >> On Tue, 12 Jan 2010, aegis wrote: >> >>> Suppose I have the vector r = OP where OP represents a vector beginning >>> from the origin and ending at some point, say P(x,y). >>> >> So r is a vector in R^2. >> >>> How could I express the components >>> in terms of theta_1 and theta_2? >>> >> Why do you think we're mind readers? >> What's theta_1 and theta_2? >> >>> Am I just pretending that there is a second angle subtended by the vector? >>> i.e., that the zero vector subtends some angle, say theta_1 and that the >>> ray from O to P subtends some other angle, say theta_2? >>> >> You're not making sense. >> Define what you mean by subtending an angle? >> It takes two vectors to determine an angle. >> >> Riddle of the day. What's the direction of the zero vector? > > "Riddle of the day. What's the direction of the zero vector?" > > By experiment: watch the map display and the speed and heading data on > your GPS when you are at rest! > Oh? I though it was best pictured as a compass at the north or south magnetic poles. > Or did mr Aegis perhaps mean angles like geographic latitude and > longitude? > Are you an exceptional cryptographer able to grasp incoherent utterances in a single think? |