с. с(й + й) %3D си + сі d. (с + d)й — си + di С.

Please include properties and rules for each step

I need explains for each step

Extracted text: с. с(й + й) %3D си + сі d. (с + d)й — си + di С.


Extracted text: Prove for generic vectors ū, i, w in R3 and c, d in R the algebraic properties of vectors. [Hint: each vector property can be reduced to properties of real numbers and definitions. These should all be relatively short. Some will be very short.]