Answer to Question #165954 in Field Theory for Iwara Emmanuel Charles

Question

Given two free vectors on a cartesian coordinate system are represented as A=3x+2y-5z and B=x-2y+z

Answer 1

$$\vec{A}\cdot\vec{B}=(3,2,-5)\cdot(1,-2,1)\\\vec{A}\cdot\vec{B}=-6$$