Raise-the-Specter-0.mp3
Raise-the-Specter-0.mp4
Raise-the-Specter-I.mp3
Raise-the-Specter-I.mp4
Raise-the-Specter-intro.mp3
[Intro]
Raise the specter
(To our vector)
We’re the force
(Throwing us off course)
[Bridge]
(Oh, of course)
[Verse 1]
Very sharply pointed
(Higher and higher)
Showing our direction
(Aspire to dire)
[Chorus]
Raise the specter
(To our vector)
We’re the force
(Throwing us off course)
[Bridge]
Made us veer
(Time we steer)
Clearly (back to reality)
[Verse 2]
A large cluster of vectors
(Pointing the same way)
So much for the hecklers
(Wallow in dismay)
[Chorus]
Raise the specter
(To our vector)
We’re the force
(Throwing us off course)
[Bridge]
Made us veer
(Time we steer)
Clearly (back to reality)
[Chorus]
Raise the specter
(To our vector)
We’re the force
(Throwing us off course)
[Outro]
Steer us (nearly)
Clearly (to reality)
A MATH AND SCIENCE NOTE
What are vectors?
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A vector is something that has both magnitude (size) and direction.
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It’s like an arrow:
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The length shows how strong it is.
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The arrowhead shows where it’s going.
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Examples of vectors:
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Wind blowing at 10 mph east.
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A car moving 60 mph northwest.
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Force pushing an object 5 Newtons upward.
Not just size — also where it’s aimed.
What is the angle between two or more vectors called?
It’s simply called the angle between the vectors.
More formally:
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It’s the smallest angle you would rotate one vector around to make it line up with the other.
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It’s important because it shows how closely two directions or forces are aligned.
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In physics and math, you often calculate it using the dot product formula:
cos(θ)=A⃗⋅B⃗∣A⃗∣∣B⃗∣\cos(\theta) = \frac{\vec{A} \cdot \vec{B}}{|\vec{A}||\vec{B}|}
where:
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θ\theta = the angle between the vectors
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A⃗⋅B⃗\vec{A} \cdot \vec{B} = dot product (a way of multiplying two vectors)
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∣A⃗∣|\vec{A}| and ∣B⃗∣|\vec{B}| = magnitudes (lengths) of the vectors
Why is the angle between vectors important?
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In physics, it helps understand how much one force affects another.
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In engineering, it tells you how efficiently forces work together (or against each other).
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In navigation, it shows how far off-course you are.
Simple picture:
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Two arrows from the same point.
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The angle between their directions = the “angle between vectors.”
A vector diagram of human-induced climate change would show:
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Each major human activity as a vector (an arrow).
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Each vector would have:
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Magnitude = how strong the effect is (how much it drives climate change).
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Direction = what type of effect it causes (warming, cooling, feedback loops, etc.).
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Some of the main vectors would be:
| Activity | Vector Direction | Vector Magnitude |
|---|---|---|
| Burning fossil fuels (coal, oil, gas) | Strongly toward global warming | Very large |
| Deforestation | Toward warming (loss of carbon sinks) | Large |
| Industrial agriculture | Toward warming (methane, nitrous oxide) | Medium-large |
| Aerosol pollution (tiny particles) | Slightly toward cooling (reflect sunlight) | Small-medium |
| Urbanization (heat islands) | Toward local and global warming | Medium |
| Climate feedback loops (like melting ice reducing reflectivity) | Toward accelerated warming | Growing rapidly |
How the diagram would look:
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A large cluster of vectors mostly pointing in the same general warming direction.
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A few smaller vectors pointing opposite (cooling, like aerosols) — but not strong enough to cancel out the warming ones.
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Some vectors bending and amplifying others, showing feedback loops (ex: hotter temperatures = more wildfires = more CO₂ released = even hotter temperatures).
Conceptually:
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Human-induced climate change would look like an overwhelmingly strong push (vector sum) toward global warming.
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The overall resultant vector would be:
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Very long
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Very sharply pointed toward higher temperatures, more extreme weather, rising seas, ecosystem collapse, etc.
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In simple terms:
Imagine a bunch of arrows (vectors) — the biggest and most powerful ones (like fossil fuel burning) all point toward “Warming” with huge force. A few tiny arrows (like aerosol cooling) point the other way, but they’re way too small to stop the giant surge.