Results 1 to 2 of 2

Math Help - Need Help for solving this linear equation problem

  1. #1
    Newbie
    Joined
    May 2010
    Posts
    1

    Need Help for solving this linear equation problem

    Q).Find the equations of the straight line that is perpendicular to the lines (2x-4)/3 = (y-6)/1 = (3 -6z)/1 and (x-2)/-1 = (3-y)/-1 = (2z-4)/-4 and which passes through the midpoint of the points (2 , 6 , 1/2) and (2 , 3 , 2)???

    Q) Find the equation of the plane that passes through the point (1,-2,3) and that is parallel to the line (x-2)/3 = (y-1)/2 = (z+5)/-2?

    please help me in solving these problems....
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,725
    Thanks
    1478
    Quote Originally Posted by hamzahasan View Post
    Q).Find the equations of the straight line that is perpendicular to the lines (2x-4)/3 = (y-6)/1 = (3 -6z)/1 and (x-2)/-1 = (3-y)/-1 = (2z-4)/-4 and which passes through the midpoint of the points (2 , 6 , 1/2) and (2 , 3 , 2)???
    Easy part- the midpoint of (2, 6, 1/2) and (2, 3, 2) is ((2+2)/2, (6+3)/2, (1/2+ 2)/2)= (2, 9/2, 5/4).

    A vector pointing in the direction of the first line is <3, 1, 1> and a vector pointing in the diredction of the second line is <-1, -1, -4>. A vector perpendicular to both is their cross product, <-3, 11, -2>. The line you want goes in that direction and contains (2, 9/2, 5/4): (x- 2)/-3= (y- 9/2)/11= z+ 4/-2.

    Q) Find the equation of the plane that passes through the point (1,-2,3) and that is parallel to the line (x-2)/3 = (y-1)/2 = (z+5)/-2?

    please help me in solving these problems....
    A plane containing point (x_0, y_0, z_0) and having vector <A, B, C> as its normal vector has equation A(x- x_0)+ B(y- y_0)+ C(z- z_0)= 0 (I bet you knew that!) However, there are an infinite number of vectors normal to a given line and there are an infinite number of planes containing that particular point and parallel to that particular line.

    Imagine a line through the given point parallel to that line. Now, any plane containing this new line satisfies the conditions. There isn't enough information to give a specific answer.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Solving linear equation, example of my problem
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 6th 2012, 02:48 PM
  2. solving this linear equation
    Posted in the Algebra Forum
    Replies: 3
    Last Post: November 11th 2008, 09:27 AM
  3. linear equation problem solving
    Posted in the Algebra Forum
    Replies: 5
    Last Post: July 4th 2008, 11:12 PM
  4. Replies: 6
    Last Post: June 29th 2008, 01:48 AM
  5. Help with solving Linear Equation
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 14th 2008, 08:21 PM

Search Tags


/mathhelpforum @mathhelpforum