# coding=utf-8 frommathimportsqrt，acos， 根据piclassvector(object ) :“”“docstring for vector”“”坐标轴列表的输入创建向量，然后， 此向量所在的空间维度' ' CANNOT_NORMALIZE_ZERO_VECTOR虚心的荷花=' cannotnormalizethezerovector ' no _ unique _ orthogonal _ vector coordinates ) : super(Vector， self (_ init _ (try : if not coordinates 3360 raisevalueerrorself.coordinates=tuple ) coordinates ) self.Didi nates excex dinatesmustbenonempty ' ) except typeerror 3360 raise typeerror (' thecoordinatesmustbeaniterable ' ) def __str__(self ) 向量长度defmagnitude(self ) : coordinates _ squared=[ x * *2forxinself.coordinates ] return sqrt ) sum ) cooordinates _ com w ) : new _ cordinates=[ ] new _ cordinates.append (self.coordinates [1] * w.coordinates [2]-w.coordinates w.coordinates [2]-w.coordinates [0] * self.coordinates w.coordinates [1]-w.coordinates [0] * self.coordinates 平行四边形面积defareaofpaaates ) )平行四边形w ) : vector _ product=self.cross product (w ) return vector_product.magnitude ) # v ) : return self.areaofparallelogram (v )/2 v1=vector ([ 8.462，7.893，-8.187] ) v2=vector([6.984，- 5.975 - 9.838，5.031 ) V4=vector([-4.268，-1.861，-8.866] ) printV3.areaofparallelogram(V4 ) V5=vector ([ 1.5 ] 5.791 ) 5.779 ] print V5.areaoftriangle (V6 ) vector:(-11.2045709999994，-97.609444，-105.68516199999999 ) # 142.
#三角形面积defareaoftriangle(self，v ) : return self.areaofparallelogram (v )/2defcross ) self，v ) : try: x_1， z _2=v.coordinates new _ cordinates=[ y _1* z _2- y _2* z _ 1，-(x_1*z_2 - x_2*z_1)， x e:msg=str(e ) if msg==' need more than2valuestounpack ' : self _ embedded _ in _ R3=vector ) self.coordinator return self _ embedded _ in _ R3.cross (v _ embedded _ in _ R3 ) elif (msg==' toomanyvaluestounpack ' or msg=3360 ) else 3360 raisedefarea _ of _ parallelogram v ) : cross _ product=self.cross (v ) return cross_product.magnitude