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Home/Mathematics/Linear Algebra/Linear Combination Calculator
Math CalculatorLinear Algebra

Linear Combination Calculator

Compute the linear combination of two 2D vectors given scalar coefficients. Calculates c1·v1 + c2·v2.

Updated 2025-01-152 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

The x-component of vector v1.

The y-component of vector v1.

The x-component of vector v2.

The y-component of vector v2.

Scalar coefficient for vector v1.

Scalar coefficient for vector v2.

Formula & Methodology

How this calculator works

w = c1·v1 + c2·v2 = (c1·v1_x + c2·v2_x, c1·v1_y + c2·v2_y)

A linear combination scales each vector by its coefficient and sums the results component-wise.

Frequently Asked Questions

Common questions about this calculator

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