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Vectors Related

  1. May 31, 2013 #1
    Hi , I have a question stated as

    Given the vector B=-6x-8y+9z and vector C= 5x-3y+4z .

    Find vectors T1 and T2 such that T1 is parallel to vector C and perpendicular to vector T2. where vector B = T1 + T2 .



    So far, i was able to find a vector T1 which is parallel to vector C but couldnt figure out how i can make it perpendicular to the vector T2 because when i try to make it perpendicular to the vector T2, it becoms impossible to satisfy the given equation B = T1 + T2 .
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jun 1, 2013 #2

    Simon Bridge

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    Welcome to PF;

    Those are equations for lines, not vectors.
    Did you mean x,y, and z to be unit vectors?
    So ##\vec{B}=(-6,-8,9)^t## and ##\vec{C}=(5,-3,4)^t##


    ##\vec{T}_1## is parallel to ##\vec{C}## and perpendicular to ##\vec{T}_2##.
    ##\vec{B}=\vec{T}_1+\vec{T}_2##

    There are infinite vectors parallel to ##\vec{C}##, but how did you find the particular one you needed?

    Per your question:
    Hint:

    if ##\vec{u}\perp\vec{v}## then ##\vec{u}\cdot\vec{v}=?## and ##\vec{u}\times\vec{v}=?##
     
  4. Jun 1, 2013 #3
    Thanks a lot...i got it..
     
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