Vector Calculator
Dot product, cross product, magnitude and angle between vectors.
Dot product (A · B)
11
Cross product
(8, -6, 2)
|A|
5
|B|
3
Angle between
42.833°
A + B
(4, 6, 2)
ShowHide the working
- 1A · B = 3×1 + 4×2 + 0×2 = 11
- 2|A| = 5, |B| = 3
Formula
A·B = Σaᵢbᵢ; |A×B| for the cross productHow it works
Dot product, cross product, magnitudes and the angle between two 3D vectors. Set z to 0 for 2D.
Example
(3,4,0) · (1,2,2) = 11, with an angle of about 56.9°.
More in Math & Algebra
- Algebra Calculator
- Quadratic Equation Solver
- System of Equations Solver
- Graphing Calculator
- Matrix Calculator
- Vector Calculator
- GCD & LCM Calculator
- Prime Number Checker
- Factorial Calculator
- Permutation & Combination
- Logarithm Calculator
- Exponent Calculator
- Square Root Calculator
- Sequence Calculator
- Scientific Notation Converter
- Calculus Calculator
About the Vector Calculator
Dot product, cross product, magnitude and angle between vectors. It sits in the Math & Algebra section of NWS Calc, a free collection of calculators that run entirely in your browser. There is no signup, no paywall and no tracking — open the page, enter your numbers, get an answer.
Frequently asked questions
- Is the Vector Calculator free to use?
- Yes. Every calculator on NWS Calc is completely free, with no signup, no usage limits and no ads.
- Does my data leave my device?
- No. The Vector Calculator runs entirely in your browser using JavaScript. Nothing you type is uploaded, logged or stored on a server.
- Can I use the Vector Calculator on my phone?
- Yes. The page is fully responsive and works in any modern mobile or desktop browser — there is nothing to install.
- What else is in Math & Algebra?
- Equations, fractions, primes, roots, sequences and number theory. You can browse the full Math & Algebra category for related calculators.