the reason why things look bigger as you get closer is simple and it's just down to geometry.
the angle an object subtends to your eye tells you how much of your vision it takes up (not sure why the inverse square law was being mentioned)
the angle subtended can be found with simple, rough...
a magnetic field is basically a vector field. every point has a vector associated with it which tells you what force the field exerts on the particle and the direction of this force.
you want to know what happens when you add vector fields - im sure you know what happens when you add vectors...
im not really clear on what you mean?
you mean moving from one red point to another? could you tell us all the information you know? i expect you can do this question either with geometry or energy
what are you talking about?
if you move towards a source of sound at speed v, the speed of the sound waves relative to you is (340+v)m/s
contrast this with light where if you move towards a torch with velocity v, the speed of the light waves relative to you is c m/s, the speed of light.
not at all, the argument itself is banned. you would be told off if you posted a tonne of scientific journals supporting global warming. also opinions cant be proven and QED is a pretty ridiculous thing to say there.
thought so.. so the doppler shift is basically the change in the measurement made in the measurement-taker's rest frame?
if you think about the person ("me") who hears the sound, it clears it up especially if i consider "my" rest frame in each scenario
a) im stationary (this is my...
can anyone say why the derivation works? my teacher went through it in class and sort of said "don't question it" (which i hate) but it's still annoying me now even though it's a few weeks since i finished college.
KE = GPE
0.5mv² = GMm/r
and then if the escape velocity is the...
Hi, I'm 18 and have just completed my A levels. I will be studying physical natural sciences at uni if I've got the grades in my a levels (I'm pretty sure I have)
I would like to volunteer teaching high school level maths and/or physics in quite a deprived country (somewhere in Africa...
Basically, I'm trying to revise lenses and the one thing I never really understood was how to tell whether an image is magnified or diminished.
http://store.aqa.org.uk/qual/gce/pdf/AQA-2450-W-TRB-OGA.PDF pages 6 and 7 has the diagrams to show what I mean
I can do the geometry of an object...
prove that the sum of a number's digits is a multiple of 9 if and only if it is divisible by 9
none that i can think of
The Attempt at a Solution
say any real integer can be written as:
where a0 is the units, a1 is the tens...
so if Bu=0
then there can be 2 solutions:
or B=0 (also uninteresting)
if B is invertible, then B-1Bu=B-10 so u=B-10=0 which is equivalent to before
i just dont see the logic that says that that says that interesting answers must exist if B-1 doesnt exist
can it not be...
okay, thanks for that. is it weird for my maths class to be learning about eigenvectors when we have no clue about null spaces? it seems like the Bu=0 where B,u ≠ 0 problem can only be explained with null spaces so it seems odd to try and learn eigenvectors before learning about null spaces :S
if we say that an eigenvector u is a vector whose direction is unchanged by the matrix transformation A:
Au - λIu = 0
we know the u=0 is obviously a solution. and i also appreciate that if A-λI=0 then A=λI which is just a scalar multiplied by the identity so is...