MHB Ibv9 The triangle ABC is defined by the following vectors

  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Triangle Vectors
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
View attachment 1227
this is best I can figure for the triangle (shaded)
but $$\vec{OC}$$ looks like it has decimals in it.
View attachment 1226
 
Mathematics news on Phys.org
Good picture, I think. Can you write down the $x$-component of $OC$ immediately? If so, can you think of a way, maybe, to write down an equation governing where the $y$-component must be?
 
At $x=2, y=\frac{13}{4}$
 
karush said:
At $x=2, y=\frac{13}{4}$

You've got it, except for notation. $OC=?$
 
Ackbach said:
You've got it, except for notation. $OC=?$

$$\vec{OC} = \pmatrix{2 \\ 3.25}$$:D
 
karush said:
$$\vec{OC} = \pmatrix{2 \\ 3.25}$$:D

(Clapping)
 
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...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

Back
Top