Calc 3 Exam 1

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  1. Distance Formula
    d=Image Upload 1
  2. sphere of radius r and center (h,j,k)
    Image Upload 2
  3. equation of a plane
    Image Upload 3
  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 4


    Image Upload 5
  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 6
    Image Upload 7
  10. Scalar Projection
    Image Upload 8
  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 9
    • Image Upload 10 is the point
    • Image Upload 11 is the vector
  16. equation of a plane
    • Image Upload 12
    • Image Upload 13


    Image Upload 14
  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 15
  20. Elliptic Paraboloid
    Image Upload 16
  21. Hyperboloid on one sheet
    Image Upload 17
  22. Hyperboloid on two sheets
    Image Upload 18
  23. Cone
    Image Upload 19
  24. hyperbolic paraboloid
    Image Upload 20
  25. Define space curve
    any curve in space
  26. formula for a helix
    Image Upload 21
Author
ID
236147
Card Set
Calc 3 Exam 1
Description
vectors and three dimensional shapes
Updated
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