Vector Subtraction Calculator

Use our free vector subtraction calculator to subtract two vectors component-wise with a detailed breakdown showing each component difference.

Math

𝐚 =

𝐛 =

Formula

Subtract two vectors of the same dimension component-wise. Each component difference 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) = (−3,−3,−3)

Result: 5.1961524227

(10,−3)−(4,7)

1.(10−4, −3−7) = (6,−10)

Result: 11.6619037897

Frequently Asked Questions

Subtract corresponding components: (a₁−b₁, a₂−b₂, ..., aₙ−bₙ).

No — 𝐚−𝐛 ≠ 𝐛−𝐚. Instead, 𝐚−𝐛 = −(𝐛−𝐚).

𝐚−𝐛 is the vector from the head of 𝐛 to the head of 𝐚.

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Vector Calculator Vector Addition Calculator Percentage Calculator Basic Calculator Addition Calculator Subtraction Calculator

CalculateMe Team

Last updated: 2026-07-15

Vector Subtraction Calculator

Formula

How It Works

Examples

(1,2,3)−(4,5,6)

(10,−3)−(4,7)

Frequently Asked Questions

How does vector subtraction work?

Is vector subtraction commutative?

What is the geometric meaning?

Related Calculators

Vector Subtraction Calculator

Formula

How It Works

Examples

(1,2,3)−(4,5,6)

(10,−3)−(4,7)

Frequently Asked Questions

How does vector subtraction work?

Is vector subtraction commutative?

What is the geometric meaning?

Related Calculators