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Points, Vectors, and Functions

Points, Vectors, and Functions

Points, Vectors, and Functions: Vexing Vectors True or False

1. Which best completes the following sentence? "A vector is..." -> a magnitude.
2. ||<3, -1>|| = ->
3. Find the direction of the vector . ->
4. Which of the following does NOT represent the vector whose x-component is 3 and whose y-component is 2? -> <3, 2>
5. Whether a function is a vector function or scalar function depends on -> both the input and the output of the function.
6. Which of the following are scalar functions? 

  1. f(x) = x2 
  2. g(x,y) = x + y 
  3. h(x,y) = ||<x, y>||
-> (II) and (III)

7. Find f(4, 5) where the function f is defined by f(x, y) = <x + y, x y> -> <9, -1>
8. Determine which graph is the best representation of the function  for 0 ≤ t ≤ 4:

-> A

9. A unit vector is -> any scalar multiple of the vector <1, 1>.
10. To normalize the vector , it must be multiplied by ->