DotExpand[exp]
expands dot products in
exp
.
Overview, DOT, DotSimplify, DeclareNonCommutative, UnDeclareNonCommutative
DOT[a x + b y + c z, d + e + f]
[%] DotExpand
(a x+b y+c z).(d+e+f)
a d x+a e x+a f x+b d y+b e y+b f y+c d z+c e z+c f z
/@ {a, b, c, d, e, f};
DeclareNonCommutative
[DOT[a x + b y + c z, d + e + f]] DotExpand
x a.d+x a.e+x a.f+y b.d+y b.e+y b.f+z c.d+z c.e+z c.f
/@ {a, b, c, d, e, f};
UnDeclareNonCommutative
[DOT[a x + b y + c z, d + e + f]] DotExpand
a d x+a e x+a f x+b d y+b e y+b f y+c d z+c e z+c f z