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Vector dot product

Find a dot product and angle for two 3D vectors.

How this works

a·b = Σaᵢbᵢ; cos θ = (a·b)/(|a||b|).

Example

Using the example inputs, dot product is 1.

Vector A (x,y,z)
1, 0, 0
Vector B (x,y,z)
1, 1, 0
Dot product
1

Scope and assumptions

Uses your inputs only; results are rounded for display.

OpenStax mathematics

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