Vector Calculator

Your details

Choose whether your vectors live in 2D or 3D space.
Select the vector operation you want to perform.
The x (horizontal) component of vector a.
The y (vertical) component of vector a.
The z (depth) component of vector a.
The x (horizontal) component of vector b.
The y (vertical) component of vector b.
The z (depth) component of vector b.
Result
11

Numeric result of the selected scalar operation.

|a| (magnitude)5
|b| (magnitude)2.236068
Operationa · b = 11
|a| (magnitude)5
|b| (magnitude)2.236068
Result11

The dot product a · b = 11.

  • A positive dot product means the angle between the vectors is less than 90 degrees.
  • The angle between the vectors is approximately 10.3 degrees.

Next stepIn physics, the dot product of force and displacement equals the work done.

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