MathLiveVector length
Gives the length (magnitude) of a vector from its Cartesian components by taking the square root of the sum of their squares. The same idea extends to n dimensions by summing over all components, or to the dot product of the vector with itself.
|\boldsymbol{a}| = \sqrt{a_x^2 + a_y^2 + a_z^2}What the symbols mean
| length (magnitude) of the vector \boldsymbol{a} | |
| x-component of the vector \boldsymbol{a} | |
| y-component of the vector \boldsymbol{a} | |
| z-component of the vector \boldsymbol{a} |
About this formula
- FieldMathematics
- TopicVector algebra
- LevelHigh school
- Also calledvector magnitude, vector norm, magnitude of a vector, norm of a vector, vector absolute value, length of a vector
- SourceWikidata Q12124094
Write it in Obsidian
MathLive is a free visual math editor for Obsidian. Run Find a formula, type “vector length”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.