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MATH / VECTORS

Vector Dot Product Calculator

Calculate the scalar dot product of two three-dimensional vectors. Review the equation, substituted values, result context, and modelling limits in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Equation inputs

Preparing the calculator...

Use boundary

Calculation path

Calculate the scalar dot product of two three-dimensional vectors. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

a dot b = a_xb_x+a_yb_y+a_zb_z

What you provide

What you provide

  • Vector A x, using the same scenario as the other inputs
  • Vector A y, using the same scenario as the other inputs
  • Vector A z, using the same scenario as the other inputs
  • Vector B x, using the same scenario as the other inputs
  • Vector B y, using the same scenario as the other inputs
  • Vector B z, using the same scenario as the other inputs

What you receive

What you receive

  • Dot product from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Both vectors must be expressed in the same Cartesian basis.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors

OpenStax College Algebra 2e

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