给定两个向量，使用叉积创建一组三个正交向量

问题描述

谁能帮我解决这个问题：

给定两个向量，使用叉积创建一组三个正交向量：

Option Explicit

Function getMorseCode( _
    ByVal s As String,_
    Optional ByVal CharDelimiter As String = " ",_
    Optional ByVal WordDelimiter As String = vbLf,_
    Optional ByVal NotFoundReplacement As String = "~") _
As String
    
    Dim CharsList As String
    CharsList = _
        "a|b|c|d|e|f|g|h|i|j|" _
        & "k|l|m|n|o|p|q|r|s|t|" _
        & "u|v|w|x|y|z|" _
        & "0|1|2|3|4|5|6|7|8|9|" _
        & ".|,|?|:|/|""|'|;|!|" _
        & "(|)|&|=|+|-|_|$|@|" _
        & " "
    Dim CodesList As String
    CodesList = _
        ".-|-...|-.-.|-..|.|..-.|--.|....|..|.---|" _
        & "-.-|.-..|--|-.|---|.--.|--.-|.-.|...|-|" _
        & "..-|...-|.--|-..-|-.--|--..|" _
        & "-----|.----|..---|...--|....-|.....|-....|--...|---..|----.|" _
        & ".-.-.-|--..--|..--..|---...|-..-.|.-..-.|.----.|-.-.-.|-.-.--|" _
        & "-.--.|-.--.-|.-...|-...-|.-.-.|-....-|..--.-|...-..-|.--.-.|" _
        & WordDelimiter
    
    Dim Chars() As String: Chars = Split(CharsList,"|")
    'Debug.Print Join(Chars,vbLf)
    Dim Codes() As String: Codes = Split(CodesList,"|")
    'Debug.Print Join(Codes,vbLf)

    Dim CurrentMatch As Variant
    Dim n As Long
    Dim cChar As String
    Dim Result As String
    
    For n = 1 To Len(s)
        cChar = Mid(s,n,1)
        CurrentMatch = Application.Match(cChar,Chars,0)
        If IsNumeric(CurrentMatch) Then
            Result = Result & CharDelimiter & Codes(CurrentMatch - 1)
        Else
            Result = Result & CharDelimiter & NotFoundReplacement
        End If
    Next n
    ' Remove leading Char Delimiter.
    Result = Right(Result,Len(Result) - Len(CharDelimiter))
    ' Remove Char Delimiter following a Word Delimiter.
    getMorseCode = Replace(Result,WordDelimiter & CharDelimiter,WordDelimiter)
 
End Function

Sub TESTgetMorseCode()
    MsgBox getMorseCode("""The character '%' cannot be found!""")
    'Debug.Print getMorseCode("""The character '%' cannot be found!""")
End Sub

替换...并在那里填写：

from compas.geometry import cross_vectors
from compas.geometry import angle_vectors
import math as m

v1 = [1,2,3]
v2 = [4,5,6]

解决方法

给定A和B这两个独立向量，可以这样得到一组3个正交向量：

C = A x B
D = A x C

A、C、D 是正交的并且跨越 3D 空间

如果您想要orthonormal，请进行标准化：

A/|A|、C/|C|、D/|D|

我会让你对左右手手性进行排序。