Hostname: page-component-745bb68f8f-mzp66 Total loading time: 0 Render date: 2025-01-26T01:31:38.423Z Has data issue: false hasContentIssue false
  • English
  • Français

Dimensions and Identity of Vector Direction.*

Published online by Cambridge University Press:  03 November 2016

A. Lodge
Get access Rights & Permissions [Opens in a new window]

Extract

In an equation with real coefficients, if the terms are vectors, they must be codirectional if the equation is possible with all the quantities real. Thus to obtain a geometrical solution of the equation a cos θ + b sin θ =c, a and b must be drawn at right angles to each other since a cos θ makes an angle θ with a, and b sin θ makes an angle 90° − θ with b. The solution is obtained by the intersections of the circles r=a cos θ + b sin θ, r=c.

Type
Research Article
Information
The Mathematical Gazette , Volume 14 , Issue 200 , April 1929 , pp. 407 - 412
Copyright
Copyright © Mathematical Association 1929

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

*

Extracts from, and additions to, an address given to the London Branch on Feb. 2,1929.

References

* Extracts from, and additions to, an address given to the London Branch on Feb. 2,1929.