diff --git a/docs/sph3u7.md b/docs/sph3u7.md index 61cb5b8..5fdc1da 100644 --- a/docs/sph3u7.md +++ b/docs/sph3u7.md @@ -150,14 +150,25 @@ $$intercept_{best fit} ± intercept_{max} - intercept_{min}$$ ## 1.3 - Vectors and scalars !!! note "Definition" - - **Scalar:** A physical quantity with a numerical value and unit. - - **Vector:** A physical quantity with a numerical value, unit, and **direction.** + - **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.** ??? example - - Physical quantities represented by scalars include speed, distance, mass, temperature, pressure, time, frequency, current, voltage, and more. - - Physical quantities represented by vectors include velocity, displacement, acceleration, force (e.g., weight), momentum, impulse, and more. + - Scalar quantities include speed, distance, mass, temperature, pressure, time, frequency, current, voltage, and more. + - Vector quantities include velocity, displacement, acceleration, force (e.g., weight), momentum, impulse, and more. -Vectors are represented as arrows whose length represents their scale/magnitude and their orientation refer to their direction. +Vectors are drawn as arrows whose length represents their scale/magnitude and their orientation refer to their direction. + +!!! info + - A variable representing a vector is written with a right-pointing arrow above it. + - The **standard form** of a vector is expressed as its magnitude followed by its unit followed by its direction in square brackets. + $$\vec{a} = 1\text{ m }[N 45° E]$$ + - The **component form** of a vector is expressed as the location of its head on a cartesian plane if its tail were at $(0, 0)$. + $$\vec{a} = (1, 1)$$ + +!!! example + The below shows a vector with a magnitude of 1, unit of metre, pointing north. + $$\vec{a} = 1\text{ m }[N]$$ ### Adding/subtracting vectors diagrammatically