Dot Product Calculator
Calculate the dot product of two vectors using either coordinate values or magnitude and angle.
Enter two vectors of the same length (comma-separated values):
Result:
This tool helps you calculate the dot product of two vectors. You can use coordinate values or magnitude and angle.
How to Use This Tool
Pick the method you want by selecting a radio option. The first option lets you enter the vectors as a list of numbers. The second option lets you use the magnitudes and the angle.
After choosing the method, follow these steps:
- Enter the values in the appropriate fields.
- Press the “Calculate Dot Product” button.
- View the result and the explanation below.
Input Fields Explained
Coordinate Values Mode
You must enter two vectors of the same length. Write each vector as comma-separated numbers. For example: “1, 2, 3” and “4, 5, 6”.
Magnitude and Angle Mode
Enter the magnitude of each vector. Then type the angle between them in degrees. This mode uses a different formula.
Output Explanation
The result shows the dot product as a single number. It also displays a step-by-step explanation when you use either mode.
The explanation shows the numbers used in the calculation. This helps you understand the process.
Limitations and Special Notes
Make sure the coordinate vectors have the same number of values. Use only positive numbers for magnitudes. Enter angles in degrees. Incorrect entries may produce an error.
Common Use Cases
This tool works for various tasks in math and physics. It helps with tasks like calculating work done by a force, dealing with vector projections, and simple graphics computations.
Final Thoughts
This dot product calculator makes vector calculations clear. Follow the simple steps and read the explanation to learn as you go.
This tool is a fast way to get the answer and understand the method behind the calculation.