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phys: misc fixes and improvements #9

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magicalsoup wants to merge 5 commits from magicalsoup/eifueo:master into master
pull from: magicalsoup/eifueo:master
merge into: eggy:master
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docs/sph3u7.md
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@ -123,7 +123,7 @@ Uncertainties are stated in the form of [value] ± [uncertainty]. A value is onl
To determine a measurement's absolute uncertainty, if: To determine a measurement's absolute uncertainty, if:
- the instrument states its uncertainty, use that. - the instrument states its uncertainty, use that.
- an analog instrument is used, the uncertainty is half of the smallest scale. (eg if a ruler can measure to $0.1cm$, the uncertainty would $0.005 cm$) - an analog instrument is used, the uncertainty is half of the smallest scale.
- a digital instrument is used, the last reported digit is uncertain by 1 at its order of magnitude. - a digital instrument is used, the last reported digit is uncertain by 1 at its order of magnitude.
!!! example !!! example
@ -163,6 +163,7 @@ $$\text{intercept}_{\text{best fit}} ± \frac{\text{intercept}_{\max} - intercep
!!! note "Definition" !!! note "Definition"
- **Scalar:** A physical quantity with a numerical value (magnitude) and a unit. - **Scalar:** A physical quantity with a numerical value (magnitude) and a unit.
- **Vector:** A physical quantity with a numerical value (magnitude), a unit, and a **direction.** - **Vector:** A physical quantity with a numerical value (magnitude), a unit, and a **direction.**
- The **minimum magnitude** for any vector must be $`\ge 0`$
??? example ??? example
- Scalar quantities include speed, distance, mass, temperature, pressure, time, frequency, current, voltage, and more. - Scalar quantities include speed, distance, mass, temperature, pressure, time, frequency, current, voltage, and more.
@ -177,8 +178,6 @@ $$\vec{a} = (1, 1)$$
- The **magnitude** of a vector can be expressed as the absolute value of a vector. - The **magnitude** of a vector can be expressed as the absolute value of a vector.
$$|\vec{a}| = 1 \text{ m}$$ $$|\vec{a}| = 1 \text{ m}$$
!!! info "Reminder"
Remember that the **minimum magnitude** for any vector must be $`\ge 0`$
### Adding/subtracting vectors diagrammatically ### Adding/subtracting vectors diagrammatically