Difference between revisions of "Vectors"
(Physics reference tables (2025 Edition): new reference table page) |
(Show the official table image instead of a wikitext copy; row anchors now land on the image) |
||
| Line 7: | Line 7: | ||
The '''Vectors''' box from the ''Reference Tables for Physical Science: Physics'' (2025 Edition) gives the four relationships between a vector ''A'', its horizontal and vertical components ''A''<sub>x</sub> and ''A''<sub>y</sub>, and the angle θ it makes with the horizontal, with a diagram of the right triangle they form. It supports [[HS-PS2-1]] (forces and velocities at an angle) and any question in which a force, velocity or displacement has to be split into components or rebuilt from them. | The '''Vectors''' box from the ''Reference Tables for Physical Science: Physics'' (2025 Edition) gives the four relationships between a vector ''A'', its horizontal and vertical components ''A''<sub>x</sub> and ''A''<sub>y</sub>, and the angle θ it makes with the horizontal, with a diagram of the right triangle they form. It supports [[HS-PS2-1]] (forces and velocities at an angle) and any question in which a force, velocity or displacement has to be split into components or rebuilt from them. | ||
| − | < | + | <span id="components"></span>[[File:Vectors.png|340px|class=img-fluid|alt=Vectors from the Physics Reference Tables (2025 Edition)]] |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | [[File:Vectors.png| | ||
| − | |||
| − | |||
== What the vectors box shows == | == What the vectors box shows == | ||
The first relationship is the Pythagorean theorem for the magnitude of a vector from its perpendicular components; the other three come from the right triangle in the diagram and give the components from the magnitude and angle (''A''<sub>x</sub> = ''A'' cos θ, ''A''<sub>y</sub> = ''A'' sin θ) or the angle from the components. θ is measured from the horizontal (the ''A''<sub>x</sub> side). The 2006 edition of the physics reference tables had a fuller Geometry and Trigonometry table (areas, volumes and the trigonometric ratios); the 2025 edition keeps only these vector relationships. | The first relationship is the Pythagorean theorem for the magnitude of a vector from its perpendicular components; the other three come from the right triangle in the diagram and give the components from the magnitude and angle (''A''<sub>x</sub> = ''A'' cos θ, ''A''<sub>y</sub> = ''A'' sin θ) or the angle from the components. θ is measured from the horizontal (the ''A''<sub>x</sub> side). The 2006 edition of the physics reference tables had a fuller Geometry and Trigonometry table (areas, volumes and the trigonometric ratios); the 2025 edition keeps only these vector relationships. | ||
| + | |||
| + | == Rows == | ||
| + | A link or an <code><nowiki>{{Rt}}</nowiki></code> chip ([[Template:Rt]]) can point at one equation or constant with these anchors; each one lands on the table above: | ||
| + | * <code>components</code> – components | ||
== Regents Exam Questions == | == Regents Exam Questions == | ||
Revision as of 17:39, 25 October 2026
| ⇱ All Physics Reference Tables (2025 Edition) | |
| ← Prefixes for Powers of 10 | Motion and Forces → |
The Vectors box from the Reference Tables for Physical Science: Physics (2025 Edition) gives the four relationships between a vector A, its horizontal and vertical components Ax and Ay, and the angle θ it makes with the horizontal, with a diagram of the right triangle they form. It supports HS-PS2-1 (forces and velocities at an angle) and any question in which a force, velocity or displacement has to be split into components or rebuilt from them.
What the vectors box shows
The first relationship is the Pythagorean theorem for the magnitude of a vector from its perpendicular components; the other three come from the right triangle in the diagram and give the components from the magnitude and angle (Ax = A cos θ, Ay = A sin θ) or the angle from the components. θ is measured from the horizontal (the Ax side). The 2006 edition of the physics reference tables had a fuller Geometry and Trigonometry table (areas, volumes and the trigonometric ratios); the 2025 edition keeps only these vector relationships.
Rows
A link or an {{Rt}} chip (Template:Rt) can point at one equation or constant with these anchors; each one lands on the table above:
components– components
Regents Exam Questions
Released Regents questions that cannot be answered without this table, listed by exam. Each link opens the question with its answer key; the standard is the one the question assesses.
No released question has needed this table yet.