vectors

posted by .

3 planes; $: x+2y-2z-6=0
%: 2x-y+z+8=0
£: 2x-y+2z+3=0

(a)(i)Find the cartesian equation for the plane @ parallel to $ and containing the point (1,1,2)
(ii)Calculate the distance between $ and @

(b)(i)Find the parametric equations for the line of intersection of the planes $ and %
(ii)Find the equations of the spheres tangent to £, radius 2 and whose centres lie on the line with the equation:
x=-2+0€
y=4+1€
z=0+1€

Really confused, so please help!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math: Equations of Lines

    Determine the parametric equations of each of the following planes: -------------------------- g) the plane containing the 2 intersecting lines: r = (5,4,2) + t(4,-2,1) r = (1,6,-6) + s(6,-4,4) My Attempt: x = 5 + 4t + 6s y = 4 -2t …
  2. Vectors

    3 planes; $: x+2y-2z-6=0 %: 2x-y+z+8=0 £: 2x-y+2z+3=0 (a)(i)Find the cartesian equation for the plane @ parallel to $ and containing the point (1,1,2) (ii)Calculate the distance between $ and @ (b)(i)Find the parametric equations …
  3. maths - geometry

    In a space with an orthonormal coordinate system consider the plane; &: 4x-3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections?
  4. Math - Equations of plane(check)

    Consider the plane that contains points A(2,3,1), B(-11,1,2), C(-7,-3,-6). a) Find two vectors that are parallel to the plane. Ans: AC, BC or AB will be parallel to the plane. b) Find two vectors that are perpendicular to the plane. …
  5. Math - Equations of plane(check)

    Consider the plane that contains points A(2,3,1), B(-11,1,2), C(-7,-3,-6). a) Find two vectors that are parallel to the plane. Ans: AC, BC or AB will be parallel to the plane. b) Find two vectors that are perpendicular to the plane. …
  6. Calculus

    Consider the planes given by the equations 2y−2x−z=2 x−2y+3z=7 (a) Find a vector v parallel to the line of intersection of the planes. (b)Find the equation of a plane through the origin which is perpendicular to the …
  7. Pre Calc

    A plane (A) heading south at 120 mph and a plane (B) heading west at 600 mph are rlying tword the same point at the same altitude. Plane A is 100 miles from the point where the flight patterns intersect and plane B is 550 miles from …
  8. Math

    If a plane has intercepts at 2a, 3a, and 4a along the three Cartesian coordinates where a is the lattice constant of the cubic cell, (i) find the Miller indices of the plane and (ii) find the distance between the neighboring planes …
  9. Math - Vectors

    Let the points A = (−1, −2, 0), B = (−2, 0, −1), C = (0, −1, −1) be the vertices of a triangle. (a) Write down the vectors u=AB (vector), v=BC(vector) and w=AC(vector) (b) Find a vector n that is …
  10. math

    Hi I wanted to check my work for this problem. Consider the points A(1,0,0) B(2,2,2) and C(0,2,1). 1) Find the vector CA x CB I got -2i -3j +4k for this 2) Find an exact value for the area of the triangle ABC. I got sqrt29/2 for this. …

More Similar Questions