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accepted A simple explanation of eigenvectors and eigenvalues with 'big picture' ideas of why on earth they matter
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accepted Distance from point to line using $x \sin \theta - y \cos\theta$
Jan
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comment Distance from point to line using $x \sin \theta - y \cos\theta$
I used GeoGebra - see geogebra.org/cms
Jan
5
comment Distance from point to line using $x \sin \theta - y \cos\theta$
Thanks for the other formulation. You're right, I do understand that more, but unfortunately I need to understand the other formulation too - as the paper I am basing some of my work on uses it, and I need to understand the consequences of them not having the $+ d$ on the end of their equation. I can see that the line $y =x $ can be represented as $x \sin \theta - y \cos \theta = 0$, but I can't see how the $+ d$ bit works. It doesn't seem to behave like the y-intercept - so how, for example, should I represent $y = x + 6$ in the $\sin$ and $\cos$ formulation?
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comment Distance from point to line using $x \sin \theta - y \cos\theta$
Thanks. Can you confirm what $d$ should be? Is it just the y-intercept? I have tried plotting the $x \sin \theta - y \cos \theta + d = 0$ for various values of $d$, and it seems to change the angle of the line, as well as the y-intercept of the line (and $d$ doesn't seem to be the y-intercept). Any ideas?
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asked Distance from point to line using $x \sin \theta - y \cos\theta$
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May
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asked A simple explanation of eigenvectors and eigenvalues with 'big picture' ideas of why on earth they matter