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Vectors problems

  1. Mar 15, 2009 #1
    The vectors are in 3D space:
    1. It says:
    |Q| = 2 and |P| = 3. Angle between the vectors is 30. Find a = P - 2Q.

    -- So for this one, i used the angle formula cos (alpha) = (Q*P) / (|Q| * |P|)
    and got QP = 3sqrt(3). However i don't know how to proceed from this point on.

    2. |a - b| = 22, |a| = 13 ,| b| = 19. Find |a+b|
    With this one i honestly don't know how to start.
    Edit:
    Ok, i drew quadrilateral, with a and b being the sides, and a+b and a-b the diagonals. I think that i might solve it.
     
  2. jcsd
  3. Mar 15, 2009 #2

    tiny-tim

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    Science Advisor
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    Hi Petkovsky! :smile:
    Do you mean Find a = |P - 2Q| ? :confused:

    If so, use |A| =√(A.A) :wink:
     
  4. Mar 15, 2009 #3
    Sorry, my bad, i have copied it wrong. It says find |a| if a = p-2q.

    -Solution:
    (p-2q)^2 = p^2 - 4pq + 4q^2 = 9 - 12sqrt(3) + 16 = 25 - 12sqrt(3)
    |p-2q| = sqrt(25 - 12sqrt(3)) <= is this correct?
     
    Last edited: Mar 15, 2009
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