Cartesian Vector Formulation
{"Image DocumentName": "Cartesian Vector Formulation", "Image ImageDescription": "i . i = 1 j . j = 1 k . k = 1. i . j = 0 i . k = 0 k . j = 0. i . i = (1) \uf0b4 (1) cos 0\uf0b0 = 1. i . k = (1) \uf0b4 (1) cos 90\uf0b0 = 0. If A and B are Cartesian vectors, then. A . B = (Ax i + Ay j + Az k) . (Bx i + By j + Bz k. = Ax Bx (i.i) + Ax By (i.j) + Ax Bz (i.k) Ay Bx (j.i) + Ay By (j.j) + Ay Bz (j.k) Az Bx (k.i) + Az By (k.j) + Az Bz (k.k) Doing Dot Product, we have. A . B = Ax Bx + Ay By + Az Bz [scalar ( so there is no i, j, k)]", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}