Results 1 to 6 of 6

Math Help - vector problem

  1. #1
    Member
    Joined
    Apr 2010
    Posts
    135

    vector problem

    a man lives on the peak of a hill overlooking the city, where he obsererves the daily routine of three tranportation services, he lables 1, 2 and 3. using the station as the origins he observes each carriage movement relative to the three origin( 0,0)

    on a particular day he observes a plane leaving the point of the origin at station 1 at 07:30hrs the plane was located at the point (tan theata{i }+j) i dont know how to write the mathematical symbol for theata. i am asked to find the distance in its simplies form, traveled by the plane in the thirty minute period.

    now on the same day he observes the position of two buses, given by the following vectors x=(T+1)i +3j and y=i=(t-1)j, where t is a real number, am now asked to find the values of t for which the buses given by x and y are parallel..

    i would like to see how this question is solved so i can try a similar one given to me... am use to vectors in its simpliest form
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261
    Quote Originally Posted by sigma1 View Post
    a man lives on the peak of a hill overlooking the city, where he obsererves the daily routine of three tranportation services, he lables 1, 2 and 3. using the station as the origins he observes each carriage movement relative to the three origin( 0,0)

    on a particular day he observes a plane leaving the point of the origin at station 1 at 07:30hrs the plane was located at the point (tan theata{i }+j)(Could you clarify this part ? write in words ) i dont know how to write the mathematical symbol for theata. i am asked to find the distance in its simplies form, traveled by the plane in the thirty minute period.

    now on the same day he observes the position of two buses, given by the following vectors x=(T+1)i +3j and y=i=(t-1)j, where t is a real number, am now asked to find the values of t for which the buses given by x and y are parallel..

    i would like to see how this question is solved so i can try a similar one given to me... am use to vectors in its simpliest form
    For part (2) , when 2 vectors are parallel to each other , one can be expressed as a scalar multiple of the other . IN this case ,

    x=cy , where c is a scalar

    (t+1)i+3j=ci+c(t-1)j

    comparing , t+1=c ---1 , 3=c(t-1) --- 2 , solve them .

    OR

    Since they are parallel , their gradients are equal .

    gradient of x = 3/(t+1)

    gradient of y = t-1

    set them equal , and solve for t .

    (Bold is to indicate sth is a vector , else it would be a variable)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Apr 2010
    Posts
    135
    Quote Originally Posted by mathaddict View Post
    For part (2) , when 2 vectors are parallel to each other , one can be expressed as a scalar multiple of the other . IN this case ,

    x=cy , where c is a scalar

    (t+1)i+3j=ci+c(t-1)j

    comparing , t+1=c ---1 , 3=c(t-1) --- 2 , solve them .

    OR

    Since they are parallel , their gradients are equal .

    gradient of x = 3/(t+1)

    gradient of y = t-1

    set them equal , and solve for t .

    (Bold is to indicate sth is a vector , else it would be a variable)
    sorry i just learnt the latex for this, could you actually work the problem so i have a clear understanding,if it not too much of a problem.

    on a particular day he observes a plane leaving the point of the origin at station 1 at 07:30hrs the plane was located at the point tan\theta i+j(Could you clarify this part ? write in words ) i dont know how to write the mathematical symbol for \theta. i am asked to find the distance in its simplies form, traveled by the plane in the thirty minute period.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261
    Quote Originally Posted by sigma1 View Post
    sorry i just learnt the latex for this, could you actually work the problem so i have a clear understanding,if it not too much of a problem.

    on a particular day he observes a plane leaving the point of the origin at station 1 at 07:30hrs the plane was located at the point tan\theta i+j(Could you clarify this part ? write in words ) i dont know how to write the mathematical symbol for \theta. i am asked to find the distance in its simplies form, traveled by the plane in the thirty minute period.
    ok , i will try to work on what we have here . Are you given the velocity vector ? Else , use v to denote that .

    Initially , the plane is at x= \tan \theta i+j , do u know how to calculate |x| ?

    |x|= \sqrt{\tan^2 \theta+1}=\sqrt{sec^2 \theta}

    After 30 mins , the plane will be at

    \sec \theta+\frac{1}{2}v
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261
    Quote Originally Posted by sigma1 View Post
    sorry i just learnt the latex for this, could you actually work the problem so i have a clear understanding,if it not too much of a problem.
    I think i have worked out almost everything for you , except for the solving part . Which part of my working that you do not understand ?

    When you are given two vectors , and you are also told that they are parallel , what can you infer ?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Member
    Joined
    Apr 2010
    Posts
    135
    i will see how best i can work the equation. any probs i will post again .
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. vector problem
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: December 10th 2011, 10:17 AM
  2. Another Vector Problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 10th 2010, 11:18 AM
  3. [SOLVED] Vector Dot Problem
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 18th 2010, 10:25 AM
  4. Vector problem
    Posted in the Geometry Forum
    Replies: 6
    Last Post: July 3rd 2009, 06:30 PM
  5. vector problem sum
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 9th 2009, 08:42 AM

Search Tags


/mathhelpforum @mathhelpforum