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Calc 3 Exam 1

  1. Distance Formula
    d=Image Upload 2
  2. sphere of radius r and center (h,j,k)
    Image Upload 4
  3. equation of a plane
    Image Upload 6
  4. standard basis vectors
    • i= <1,0,0>
    • j= <0,1,0>
    • k= <0,0,1>
  5. unit vector
    a vector of length 1
  6. Dot Product
    Image Upload 8


    Image Upload 10
  7. When are two vectors parallel to each other?
    When they are scalar multiples
  8. When are two vectors orthoganal or perpendicular to each other?
    When their dot products is zero
  9. what is the equations of Image Upload 12
    Image Upload 14
  10. Scalar Projection
    Image Upload 16
  11. what does the cross product help to find?
    the area
  12. what is the product of a cross product?
    a vector perpendicular to both a and b
  13. Dot product produces a?
    scalar
  14. Cross product produces a?
    vector
  15. Vector equation for a line
    • Image Upload 18
    • Image Upload 20 is the point
    • Image Upload 22 is the vector
  16. equation of a plane
    • Image Upload 24
    • Image Upload 26


    Image Upload 28
  17. Two things needed to produce an equation of a line
    • point
    • parallel vector
  18. Two things needed to produce a plane
    • point
    • perpendicular vector
  19. Ellipsoid
    Image Upload 30
  20. Elliptic Paraboloid
    Image Upload 32
  21. Hyperboloid on one sheet
    Image Upload 34
  22. Hyperboloid on two sheets
    Image Upload 36
  23. Cone
    Image Upload 38
  24. hyperbolic paraboloid
    Image Upload 40
  25. Define space curve
    any curve in space
  26. formula for a helix
    Image Upload 42
Author
squeke22
ID
236147
Card Set
Calc 3 Exam 1
Description
vectors and three dimensional shapes
Updated

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