Math

posted by .

Given the plane 2x-3y+7z=4, find the equation for the line perpendicular to the plane that intersects the plane at the point (6,5,1).

  • Math -

    vector 2i - 3j + 7 k is normal to the plane

    line
    (x-x1)/2 = (y-y1)/3 =(z-z1)/7

    (x-6)/2 = (y-5)/3 = (z-1)/7

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Given the plane 2x-3y+7z=4, a) Find the equation for the line perpendicular to the plane that intersects the plane at the point P=(6,5,1). b) How far is it from the point (4,-2,3) to the plane?
  2. Geometry

    a line RS is perpendicular to plane p at R. If T is a second point not on. Can RT be perpendicular to plane P?
  3. Math

    a line RS is perpendicular to plane p at R. If T is a second point not on. Can RT be perpendicular to plane P?
  4. Precalc

    At the point were a line intersects a plane [with the equation (24x+32y+40z=480) and three points of A(5, 10, 1), B(6, 3, 6), and C(12, 1, 4)], the vector i-, vector j-, and vector k-coefficients of the line equal the corresponding …
  5. Geometry

    4.Determine which point does not lie on the graph of the line y=x-3 a. (-10, 13) b. (-10-13) c. (-8, -11) A?
  6. calculus

    Find parametric equations for the line that is perpendicular to the plane 2x-y+3z=7 and intersects the plane when x=1 and y=1.
  7. Calculus

    Find the scalar equation of a plane that is perpendicular to plane r=(-2,1,3)+s(0,1,1)+t(-1,0,3) and also intersects it along the line (x-3)/2=(y+1)/-3,z=1
  8. Geometry

    Plane R contains points ,M,and Y. Plane Z intersects with plane R at SM, AY intersects plane R at point Y. . Point A is not in plane Z or plane R. MY forms a right angle with MS. A. What is measure of < SMY?
  9. Calculus

    a) Find parametric equations for the line through (4, 1, 4) that is perpendicular to the plane x − y + 2z = 7. (Use the parameter t.) b) In what points does this line intersect the coordinate planes?
  10. 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)), …

More Similar Questions