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Vector Dot Product

Find the scalar product of two three-dimensional vectors.

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Local calculations. Results are estimates, not professional advice.

Dot product

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Use consistent units. The result follows the assumptions you enter.

Formula

A·B = aₓbₓ+aᵧbᵧ+a_zb_z

Find the scalar product of two three-dimensional vectors.

Worked example

Vector A: x
1
Vector A: y
2
Vector A: z
3
Vector B: x
4
Vector B: y
5
Vector B: z
6
Dot product
32

Scope and limitations

Use consistent units. The result follows the assumptions you enter.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: a6757e8f2e91 · Example checked:

Methodology

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