Compute the scalar dot product of two 3D vectors.
Last updated: June 2026 | By Patchworkr Team
Enter all six vector components as real numbers.
The dot product multiplies matching components and adds them together.
It is a scalar value and is zero when the vectors are perpendicular.
1. Enter the three components of vector A.
2. Enter the three components of vector B.
3. Read the live scalar result and the component products.
For A = (2, 3, 1) and B = (4, 1, 2):
A dot B = 2*4 + 3*1 + 1*2 = 8 + 3 + 2 = 13
The calculator should show 13.
Yes. A negative dot product means the vectors point more than 90 degrees apart.
When the vectors are perpendicular, or one vector is zero.
Yes. A dot B equals B dot A.
No. Multiply matching components and add them all.
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