Vector Addition Calculator

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Vector Addition Calculator

Add two 2D vectors and find the resultant magnitude and direction.

calculator Free Online Tool
⚡ Instant Results
📊 Clear Comparison
🔒 100% Free Tool

Compare Your Options And Get Clear Answers

Add two 2D vectors and find the resultant magnitude and direction.

Vector Addition Estimator

Enter your numbers below for an instant estimate.

Inputs
x component
y component
x component
y component
0
💡 Tip: A + B = (ax + bx, ay + by).
1

Enter Values

Fill in each field with your own numbers.

2

Calculate

Results update as you change the inputs.

3

Review

Read the breakdown and the explanation.

4

Adjust

Change values to compare scenarios.

Vector Quick Guide

Typical values for reference.

ABA + BMagnitude
calculator (3, 4)(-1, 2)(2, 6)6.325
calculator (1, 0)(0, 1)(1, 1)1.414
calculator (5, 5)(-5, -5)(0, 0)0.000
calculator (2, -3)(4, 1)(6, -2)6.325
📊 Rule of ThumbCheck inputsUse as a guideRound sensibly

Vector Addition Calculator FAQ

Answers to common questions about this calculator.

Add the matching components.

The single vector equal to the sum.

Use the arctangent of y over x.

No, addition is commutative.

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