Vector Calculator – Perform Instant Vector Calculations Online
Quickly calculate vector magnitude, addition, subtraction, dot product, and more with our free online Vector Calculator.
Advanced Vector Calculator
Input Vectors
Operations
Result
📘 Vector Dot Product Formula with Example
Formula: The dot product of two vectors A and B is given by:
A · B = Ax * Bx + Ay * By + Az * Bz
Example:
Let A = (2, 3, 4) and B = (1, 5, 7)
Using the dot product formula:
A · B = (2 * 1) + (3 * 5) + (4 * 7)
= 2 + 15 + 28
= 45
✅ Result: The dot product of vectors A and B is 45.
Free Online Vector Calculator for Math, Physics & Engineering Students
How It Works – Step-by-Step Guide to Using the Vector Calculator
- Enter the vector components in the respective input fields (e.g., X, Y, and Z values for each vector).
- Select the operation you wish to perform, such as vector addition, subtraction, dot product, cross product, or magnitude calculation.
- Click the “Calculate” button to process the vector inputs.
- The calculator processes your entries using built-in mathematical formulas designed for accurate vector operations.
- View the results instantly – including magnitude, resultant vectors, or scalar products.
- Copy, share, or save the results for use in academic, engineering, or research projects if the option is provided.
Why Use Our Vector Calculator?
- Precision-Based Calculations: Whether it’s 2D or 3D vectors, our calculator uses accurate vector formulas to give you error-free results.
- Student & Professional Friendly: Ideal for school homework, engineering assignments, physics problems, and more.
- 100% Free & Instant Access: No login, no ads, no payment. Use the free online vector calculator anytime, anywhere.
The Only Vector Calculator in India You’ll Ever Need – Fast, Free & Accurate
Features & Benefits of the Free Vector Calculator Online
Supports 2D & 3D Vectors for complete flexibility in vector operations.
- Performs all major vector operations, including addition, subtraction, scalar (dot) product, and vector (cross) product.
- Instant vector magnitude calculator for quick norm calculations.
- User-friendly interface – clean design for fast input and output.
- Ideal for physics & engineering students solving vector-related problems.
- Completely online vector calculator – no downloads or installations required.
- Mobile-friendly – works perfectly on smartphones and tablets.
- Time-saving tool for students and professionals in science, technology, and mathematics fields.
- Optimized for India and global users, with fast-loading performance.
- Safe and ad-free experience – built for productivity and learning.
Frequently Asked Questions – Vector Calculator
What is a Vector Calculator?
A Vector Calculator is an online tool designed to perform vector operations such as addition, subtraction, dot product, cross product, and magnitude calculations.
What vector operations can I perform with this calculator?
You can calculate vector addition, subtraction, scalar multiplication, dot product, cross product, vector magnitude, and angle between vectors.
How do I enter vectors in the Vector Calculator?
Vectors can be entered as coordinates (e.g., (x, y, z)) or components depending on the dimension of the vector you want to work with.
Does this tool support 2D and 3D vector calculations?
Yes, the calculator supports both 2D and 3D vectors for various operations and computations.
Can I calculate the dot product and cross product using this tool?
Yes, the calculator computes both dot product (scalar product) and cross product (vector product) of vectors accurately.
Is the Vector Calculator useful for students and engineers?
Definitely! This tool is ideal for students, engineers, physicists, and anyone working with vectors in math or physics.
Is the Vector Calculator free to use?
Yes, it is a free online tool available for anyone without registration or payment.
Can I use the calculator to find the magnitude of a vector?
Yes, simply input the vector components and the calculator will provide the magnitude (length) of the vector.
Does this tool calculate the angle between two vectors?
Yes, you can find the angle between two vectors using the dot product formula integrated into the calculator.
How accurate is the Vector Calculator?
The calculator uses precise mathematical formulas to ensure accurate vector operation results for both academic and professional use.