. .
:
1. α=(ax;ay;az)
2. (x1;y1;z1) B(x2;y2;z2) .
, .
. n - .
, .
. , , , , . ,
b
e[1],e[2]...,e[n] x[1],..., x[n] e[1],e[2]...,e[n] b:
x1*e[1]+... + x[n]*e[n] = b.
. .
x[1],..., x[n] b e[1],e[2]...,e[n].
.
.
. , .
.
,
.
a * b=ax*bx+ay*by+az*bz
.
-:
1. a*b=b*a
2. (a+b)*c=a*c+b*c
3. (k*a)*b=k(a*b)
4. 2- ⊥b ⇔ a*b=0
5. ∥ b⇔ ax/bx=ay/by=az/bz
.
-
:
. ., , .