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Math & Statistics

Dot Product Calculator

Compute the dot product and angle between two 3D vectors.

Your inputs

Change any value to update the result instantly.

Math & Statistics

Dot product

3

|A|

2.2361

|B|

5

Angle between vectors

74.4352 °

Formula and working

a·b = a₁b₁ + a₂b₂ + a₃b₃

  1. 1

    Collect the inputs

    Vector A - x = 1; Vector A - y = 2; Vector A - z = 0; Vector B - x = 3; Vector B - y = 0; Vector B - z = 4

  2. 2

    Apply the formula

    a·b = a₁b₁ + a₂b₂ + a₃b₃

  3. 3

    Result

    Dot product = 3

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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