Chapter 0 Preface A·B=B.A AA=A Prove it? A(B+C)=A·B+AC A=A2+4+Ak) A·B=? B=Bi+Bj+Bk A·B=(A1i+A1j+Ak)·(B,i+B,j+Bk) AB+AB+aB AB=AB+A,B+A.Chapter 1Chapter 1 Measurment Chapter 0 Preface A A i A j A k x y z     = + + B B i B j B k x y z     = + +  AB = ?   A B (A i A j A k) (B i B j B k) x y z x y z          = + +  + + = Ax Bx + Ay By + Az Bz A B = Ax Bx + Ay By + Az Bz    A B B A      =  2 2 A A = A| = A    | A B C A B A C        ( + ) =  +  Prove it?