Vector Addition Calculator

Use our free vector addition calculator to add two vectors component-wise with a detailed breakdown showing each component sum.

Math

𝐚 =

𝐛 =

Formula

Add two vectors of the same dimension component-wise. Each component sum is shown individually with the final result.

𝐚 + 𝐛 = (a₁+b₁, a₂+b₂, ..., aₙ+bₙ)

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter 𝐚 as comma-separated numbers.
2Enter 𝐛 with the same number of components.
3Click Calculate.

Examples

(1,2,3)+(4,5,6)

1.(1+4, 2+5, 3+6) = (5,7,9)

Result: 12.449899598

(10,−3)+(4,7)

1.(10+4, −3+7) = (14,4)

Result: 14.5602197786

Frequently Asked Questions

Add corresponding components: (a₁+b₁, a₂+b₂, ..., aₙ+bₙ).

No — both vectors must have the same number of components.

Yes — 𝐚+𝐛 = 𝐛+𝐚.

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CalculateMe Team

Last updated: 2026-07-15

Vector Addition Calculator

Formula

How It Works

Examples

(1,2,3)+(4,5,6)

(10,−3)+(4,7)

Frequently Asked Questions

How does vector addition work?

Can I add vectors of different dimensions?

Is vector addition commutative?

Related Calculators

Vector Addition Calculator

Formula

How It Works

Examples

(1,2,3)+(4,5,6)

(10,−3)+(4,7)

Frequently Asked Questions

How does vector addition work?

Can I add vectors of different dimensions?

Is vector addition commutative?

Related Calculators