1. Find the magnitude of the horizontal and vertical components of v when ||v|| = 15 and v has a direction angle of 30o.


    2. hint
    answer 

  2. Find ||v|| if v = <3,-1>.


    3. hint
    answer
                                                                      __
  3. Let A = (4,2) and B = (9,1).  Write vector AB in component form and find its magnitude.


    4. hint
    answer
     
  4. Find the unit vector for v = <3,-1>.

    5. hint
    answer
     

  5. Let  v = <3,-1>.  Write v as a linear combination of i and j.

    6. hint
    answer
     

  6. Find the direction angle for v = 3i - j.

    hint

    7. answer 

  7. Let u = < -2,4> and v = <1,4>.  Find u + v, u - v, and 2u - 3v.

    hint

    8. answer