Read the result
A positive dot product means the vectors broadly point the same way. A negative value means one has a component opposing the other.
Vector algebra
Dot Product Calculator
Calculate a scalar product and connect it to angle, projection, and work done.
Formula
A . B = AxBx + AyBy + AzBz
Result
Worked substitution
The dot product links components with angle, projection, and work.
Where it helps
This is the core calculation behind angles between vectors, mechanical work, and projection onto a direction.
Common slip
The dot product is a scalar, not a vector. Do not attach i, j, k components to the final value.
Try it
Use A = (1, 0, 0) and B = (0, 1, 0). The dot product should be 0 because the axes are perpendicular.