Which Are Vectors
Q. Which of these are vectors?
How it's solved
Solved with Vectors
Working
- volume: a scalar, a size alone
- mass: a scalar, a size alone
- speed: a scalar, a size alone
- acceleration: a vector, it has a direction
- density: a scalar, a size alone
- number of moles: a scalar, a size alone
- velocity: a vector, it has a direction
- angular frequency: a scalar, a size alone
- displacement: a vector, it has a direction
- angular velocity: a vector, it has a direction
Conclusion
A vector needs a direction as well as a size. Speed is how fast; velocity is how fast and which way. Angular frequency counts turns in a time, while angular velocity points along the axis of the turning.
The web of concepts
given read from the words equation asked
The Ruby that solves it
The question and its solution are small Ruby files. The engine runs them.
1require_relative "../physics"23question :which_are_vectors do4 kind :mcq5 describes "Which of these are vectors?"67 option "volume"8 option "mass"9 option "speed"10 option "acceleration"11 option "density"12 option "number of moles"13 option "velocity"14 option "angular frequency"15 option "displacement"16 option "angular velocity"17end1require_relative "../questions/which_are_vectors"2require_relative "../science/motion_in_a_plane/vectors"34solve :which_are_vectors, using: Vectors do5 answer options.select { |o| o.content.to_quantity.vector? }67 conclusion "A vector needs a direction as well as a size. Speed is how fast; velocity is how " \8 "fast and which way. Angular frequency counts turns in a time, while angular " \9 "velocity points along the axis of the turning."10endplayground.rb
1require_relative "../solutions/which_are_vectors"23play_with :which_are_vectors do4 title "Which Are Vectors"5endThe laws it drew on
| quantity | written | units | within | from |
|---|---|---|---|---|
| volume | — | — | Vectors | |
| mass | — | — | Vectors | |
| speed | — | — | Vectors | |
| density | — | — | Vectors | |
| number of moles | — | — | Vectors | |
| angular frequency | — | — | Vectors | |
| work | — | — | Vectors | |
| current | — | — | Vectors | |
| temperature | — | — | Vectors | |
| pressure | — | — | Vectors | |
| time | — | — | Vectors | |
| power | — | — | Vectors | |
| total path length | — | — | Vectors | |
| energy | — | — | Vectors | |
| gravitational potential | — | — | Vectors | |
| coefficient of friction | — | — | Vectors | |
| charge | — | — | Vectors | |
| acceleration | — | — | Vectors | |
| velocity | — | — | Vectors | |
| displacement | — | — | Vectors | |
| angular velocity | — | — | Vectors | |
| force | — | — | Vectors | |
| angular momentum | — | — | Vectors | |
| linear momentum | — | — | Vectors | |
| electric field | — | — | Vectors | |
| average velocity | — | — | Vectors | |
| magnetic moment | — | — | Vectors | |
| relative velocity | — | — | Vectors | |
| impulse | — | — | Vectors | |
| first vector | — | 0 … ∞ | Vectors | |
| second vector | — | 0 … ∞ | Vectors | |
| angle between | — | 0 … 3.142 | Vectors | |
| resultant | — | 0 … ∞ | Vectors | |
| resultant direction | — | 0 … 3.142 | Vectors | |
| direction | — | -3.142 … 3.142 | Vectors | |
| x component | — | — | Vectors | |
| y component | — | — | Vectors |