Do dot products have units?

[dishote2003]

Hi, I got a simple question, "dot product" have units?
I mean, if A=(Ax+Ay+Az)N and B=(Bx+By+Bz)(cm/s) , the units of A.B will be N.(cm/s)
Thanks,
Cali

 

[Tron3k]

$$\vec{A} \cdot \vec{B} = A_x B_x + A_y B_y + A_z B_z$$

So clearly, the units of the dot product is the product of the units of A and the units of B.

 

[dishote2003]

Thanks.