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Determine if the following lines are parallel, skew or intersecting.




⟨x,y,z⟩=⟨2,1,2⟩+⟨3,5,2⟩t and



⟨x,y,z⟩=⟨2,5,2 ⟩+⟨3,3,2⟩s



*If parallel (type the number 1).



*If intersecting (type the number 2).



*If skew (type the number 3).


Thinl of an instance when you communicated unintentionally.Explain where the consequences were good or bad.if you have a chance to correct the unitentionally communication how would you do it?

Determine if the following lines are parallel, skew or intersecting.



⟨x,y,z⟩=⟨3,2,2⟩+⟨4,5,4⟩t and


⟨x,y,z⟩=⟨5,2,1⟩+⟨ 20,25,20 ⟩t


*If parallel (type the number 1).


*If intersecting (type the number 2).


*If skew (type the number 3).



Blank 1. Calculate the answer by read surrounding text.


The vector that has the same direction as ⟨3,4,3⟩ but has length of 4 is ⟨ Blank 1. Calculate the answer by read surrounding text.


, Blank 2. Calculate the answer by read surrounding text.


, Blank 3. Calculate the answer by read surrounding text.



The equation x2−8 x+y2− 14 y+z2+ 16 z= -113 represents a sphere with radius Blank 1. Calculate the answer by read surrounding text.



and center ( Blank 2. Calculate the answer by read surrounding text.



, Blank 3. Calculate the answer by read surrounding text.



, Blank 4. Calculate the answer by read surrounding text.



).





Question 3 of 12 3 Points


Fit the equation with the surface in R3


A. Plane parallel to the xz-plane.


B. Plane parallel to the yz-plane.


C. A circle with radius 2.


D. Circular cylinder with radius 2.


E. Sphere with radius 2 and center (3,5,−1)


F. Sphere with radius 2 and center (−3,−5,−1)



select


1. x2+y2=4



select


2. x2+y2=4,z=4



select


3. 6x+x2−10y+y2+2z+z2=−31



select


4. 6x+x2+10y+y2+2z+z2=−31



select


5. x=3



select


6. y=3


Provide your own examples of the following using Python lists. Create your own examples. Do not copy them from another source. 

  • Nested lists 
  • The “*” operator 
  • List slices 
  • The “+=” operator 
  • A list filter 
  • A list operation that is legal but does the "wrong" thing, not what the programmer expects 

Provide the Python code and output for your program and all your examples. 


Two nonzero vectors a and b are called perpendicular or orthogonal if the angle between them is Blank 1. Fill in the blank, read surrounding text.


and a⋅ b= Blank 2. Fill in the blank, read surrounding text.


.





Question 1 of 12 7 Points



What follows is a calculated question with 14 blanks.



If a=⟨ 4,7,8 ⟩ and b=⟨ 5,10,2⟩ then:




|a|= Blank 15. Calculate the answer by read surrounding text.




|b|= Blank 16. Calculate the answer by read surrounding text.




a⋅b= Blank 17. Calculate the answer by read surrounding text.




a×b=⟨ Blank 18. Calculate the answer by read surrounding text.



, Blank 19. Calculate the answer by read surrounding text.



, Blank 20. Calculate the answer by read surrounding text.






b×a=⟨ Blank 21. Calculate the answer by read surrounding text.



, Blank 22. Calculate the answer by read surrounding text.



, Blank 23. Calculate the answer by read surrounding text.






a×a=⟨ Blank 24. Calculate the answer by read surrounding text.



, Blank 25. Calculate the answer by read surrounding text.



, Blank 26. Calculate the answer by read surrounding text.






The angle between a and b is Blank 27. Calculate the answer by read surrounding text.



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