Vector Math
Vector Addition Calculator
Combine vectors of any dimension by adding or subtracting their components and see the result instantly.
Add or subtract vectors component-wise in any dimension.
Component addition
(a₁, a₂, …, aₙ) ± (b₁, b₂, …, bₙ) = (a₁ ± b₁, a₂ ± b₂, …, aₙ ± bₙ)
The calculator also reports the dimension so you can verify both vectors share the same length before proceeding.
How to use
- Enter vector A as comma- or space-separated components.
- Enter vector B using the same dimension.
- Review A + B and A − B beneath the inputs.
Example
Input: A = (2, 3, −1), B = (1, −4, 5)
Output: A + B = (3, −1, 4), A − B = (1, 7, −6)
Student-friendly breakdown
This walkthrough emphasizes the most searched ideas for Vector Addition Calculator: vector calculator, vector addition calculator, dot product calculator, cross product calculator. Start with the formula above, then follow the guided steps to double-check your work. For quick revision, highlight the givens, plug into the equation, and finish by verifying your units.
Need more support? Use the links below to open the long-form guide, browse additional examples, or hop into adjacent calculators within the same topic. Each resource is interlinked so crawlers (and readers) can discover the next best action within a couple of clicks—one of the easiest ways to lift topical authority.
Deep dive & study plan
The Vector Addition Calculator is a go-to tool whenever you need to performs vector addition and subtraction component-wise.. It focuses on vector addition, vector subtraction, components, which means searchers often arrive with intent-heavy queries like “how to vector addition calculator quickly” or “vector addition calculator formula explained.” Use this calculator to capture those intents and keep learners on the page long enough to send positive engagement signals.
Under the hood, the calculator leans on the calculator also reports the dimension so you can verify both vectors share the same length before proceeding.—that’s why we surface the full expression (“(a₁, a₂, …, aₙ) ± (b₁, b₂, …, bₙ) = (a₁ ± b₁, a₂ ± b₂, …, aₙ ± bₙ)”) directly above the interactive widget. When you embed that formula inside H2s or supporting paragraphs, you help both humans and crawlers understand what entity the page represents.
Execution matters as much as the math. Follow the built-in procedure: Step 1: Enter vector A as comma- or space-separated components. Step 2: Enter vector B using the same dimension. Step 3: Review A + B and A − B beneath the inputs.. Each numbered instruction is short enough to scan on mobile but descriptive enough to satisfy Google’s Helpful Content guidelines. Encourage students to jot down units, double-check signs, and compare answers with the Example card to build confidence.
The Example section itself is packed with semantic clues: “A = (2, 3, −1), B = (1, −4, 5)” leading to “A + B = (3, −1, 4), A − B = (1, 7, −6).” Pepper similar narratives throughout your copy (and internal links from related guides) so canonical search intents are answered without pogo-sticking back to Google.
Quick retention checklist
- Speak the formula aloud (or annotate it) so the relationships stick.
- Write each step in your own words and compare with the numbered list above.
- Swap in new numbers for the Example to make sure the calculator (and your logic) handles edge cases.
- Link out to at least two related calculators to keep readers exploring your topical hub.
FAQ & notes
Can I mix spaces and commas?
Yes. The parser accepts either separator as long as the dimension matches for both vectors.
Does it handle 2D vectors?
Absolutely—enter as many components as you need, including two-dimensional vectors.
What formula does the Vector Addition Calculator use?
The calculator also reports the dimension so you can verify both vectors share the same length before proceeding.
How do I use the Vector Addition Calculator?
Enter vector A as comma- or space-separated components. Enter vector B using the same dimension. Review A + B and A − B beneath the inputs.