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Skew Lines Skew Lines The two given lines given are skew ( Skew Lines Skew Lines The two given lines given are skew (

Skew Lines Skew Lines The two given lines given are skew ( - PowerPoint Presentation

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Uploaded On 2023-09-24

Skew Lines Skew Lines The two given lines given are skew ( - PPT Presentation

ie they do not meet What is the shortest distance between them         Also find the coordinates of and   shortest distance must be perpendicular to both lines Let Then ID: 1020443

distance skew shortest lines skew distance lines shortest find linesthe meet ordinates sic 27shortest equations unknowns points

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1. Skew Lines

2. Skew LinesThe two given lines given are skew (i.e. they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . shortest distance

3. must be perpendicular to both lines.Let Then (1)And (2)We have two equations but three unknowns so they cannot be solved but we don’t need to, we only need find the relative sizes of them.Adding equations (1) and (2) gives and substitution gives . So with magnitude where is some number. 

4. Let and be general points on and , respectively.The coordinates of each are: .The vector joining these points is: This must be parallel to so:This gives us three equations with three unknowns which we can solve.  

5. Yielding: Substituting these values gives us the required solution to our problem: The shortest distance = =  

6.

7. RESOURCES

8. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

9. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

10. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

11. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

12. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

13. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

14. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

15. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

16. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

17. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

18. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

19. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

20. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

21. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

22. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

23. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

24. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

25. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

26. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance

27. Skew LinesThe two given lines given are skew (i.e they do not meet).What is the shortest distance between them?    Also find the co-ordinates of and . SIC_27shortest distance