posted by .

find the equation of plane passing through point(0,7,-7) and containing line x+1/-3=y-3/2=z+2/1

  • maths -

    I assume you mean
    (x+1)/-3 = (y-3)/2 = (z+2)/1 , the brackets are essential
    so we know (-1,3,-2) is a point on the plane and we also have a direction vector of [-3,2,1]
    using (0,7,-7) we can find a second direction vector which would be
    a normal to [-3,2,1] and [1,4,-5] is [-14, -14 , -14]
    or reduced to [1,1,1]

    So the equation of the plane is
    x + y + z = c, but -1,3,-2) lies on it
    -1 + 3 - 2 = c = 0

    equation of plane:
    x+y+z = 0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation …
  2. Vector

    2. Determine the Cartesian equation of the plane passing through the point P(2, -1,2) and containing the line r = (2, -1, 4) + f(0, 3, -5).
  3. Calculus

    Determine the equation of the line described by the given information. a) slope -2/3, passing through (0,6) b) passing through points (2,7) and (6,11) c) parallel to y=4x-6 passing through point (2,6)
  4. maths --plse help me..

    how to find the cartesian eqn of plane passing through A(0,0,0) and B(3,-1,2) and parellel to line (x-4)/1 = (y+3)/-4 = (z+1)/7 basically how to find a plane parallel to a given line?
  5. algebra

    Please help me. Find the equation of the line satisfying the indicated properties. Express your answer in slope-intercept form. Passing through point (-2, 4) and perpendicular to the line containing points (3, -1) and (5, -1).
  6. Pre- Algebra

    Given an equation of a line, how do I find equations for lines parallel to it going through specified points Simplifying the equations into slope-intercept form. 1. y= -2x -4; (1, 3) how do I write the equation of a line parallel to …
  7. maths

    Draw a right -handed rectangular reference frame with axes ranges x = -5 to +5, y = -5 to +10 , z = -5 to +5. Sketch the following planes on your reference frame. X-y plane passing through z =5, y-z plane passing through x = -2, z-x …
  8. Calculus

    Consider the line through the points (3,2,5) and (1,1,1). Consider the plane A that is perpendicular to this line, and passing through the point (-1,0,2). Consider the plane B that passes through the points (1,-1,0), (0,2,0), and (0,5,2). …
  9. math

    Hi, I was working on my math homework and I was stumbling on these problems. I tried looking at the solutions but my answers were completely off. Here are the ones I'm stuck on: If vectors O(0,0,0), A(6,0,0), B(6,-sqrt(24), sqrt(12)), …
  10. linear algebra

    Find the scalar equation for the plane passing through the point P=(0, 2, −1) and containing the line L defined by x = 2+t y = 4+t z = −6+7t

More Similar Questions