B Vector addition- Positive x axis.

opus
Gold Member
Messages
717
Reaction score
131
Please see the attached page to see what I'm talking about.
In the top right paragraph, it states to use "the positive direction of the x-axis".
It is given that ##θ_2=30°## and it shown visually at the bottom of the page.
In the problem it's using -60° and I'm not sure how they're getting that.
 
Mathematics news on Phys.org
Given pictures
 

Attachments

  • C8AF2925-DF43-4D00-93CC-CA8323054359.jpeg
    C8AF2925-DF43-4D00-93CC-CA8323054359.jpeg
    40.9 KB · Views: 407
Here's the second vector by itself. Counterclockwise from the +x axis is a positive angle; clockwise from the +x axis is negative.

angle.gif
 

Attachments

  • angle.gif
    angle.gif
    5.3 KB · Views: 611
  • Like
Likes opus
Exactly what I was looking for. Thank you @jtbell.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
Back
Top