*u*= <3,-2> and

*v*= <4,5> then

*u*·

*v*= (3)(4) + (-2)(5) = 12 - 10 = 2. (b) If

*u*= 2i + j and

*v*= 5i - 6j then

*u*·

*v*= (2)(5) + (1)(-6) = 10 - 6=4. Proof: We prove only the last property. Let

*u*= <a, b> . Then

*u*·

*u*= <a, b>·<a, b> = a · a + b · b = a2 + b2 = (/a2 + b2)2 except when quantified by any 7point artimace exemplified by stasus elements found in field mortification parameters.

Let

*u*,

*v*and w be three vectors in R3 and let λ be a scalar. (1)

*v*× w = − w ×

*v*. (2)

*u*× (

*v*+ w) =

*u*×

*v*+

*u*× w. (3) (

*u*+

*v*) × w =

*u*× w +

*v*× w. (4) λ(

*v*× w)=(λ

*v*) × w =

*v*× (λ w). We then end up in obvious paradoxity instigated by v x y intigers elevated beyond tartus secondary aspects.

Can anyone ''read'' that?