Find the point at which the line intersects the given plane. x = y – 2...
Find the point, P, at which the line intersects the plane. x= -6 - 3t, y = -3- 9t, z= -6+ 4t: 8x + 2y +6z = 5 The point, P, at which the line intersects the plane is (00). (Simplify your answer. Type an ordered triple.)
(1 point) The plane x y + 2z = 8 intersects the paraboloid z = x2 + y in an ellipse. Find the points on this ellipse that are nearest to and farthest from the origin. Point farthest away occurs at ). Point nearest occurs at (1 point) The plane x y + 2z = 8 intersects the paraboloid z = x2 + y in an ellipse. Find the points on this ellipse that are nearest to and farthest from...
Please I need help asap Find the point, P, at which the line intersects the plane. x= - 10-9t, y = - 3 + 5t, z=9-2t; 5x - 2y + 8z = 7 The point, P, at which the line intersects the plane is (7. (Simplify your answer. Type an ordered triple.)
intersects the plane Q3: Find the point where the line x x = + 2t , y = -2t, z = 1+t through P (1,1,-1). Q(2,0.2) and S (0,2,1) ?
Find the point at which the line with the parametric equations x-1-1, y=1+1, z intersects the plane with the equation X-y +3.2-4.
Please provide clear handwritings for answers and specific step by step explanations of questions 3 and 4. Thank you. 3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find the distance between them. If they are not parallel, but are intersecting (at a single point), find the point of intersection. If they are none of the above, draw a cat. 4. The line r(t) = 〈1, 1,1〉 +t(1,3,-1) and the plane...
Problem 1. (1 point) The line x = [3t – 6,4,6 – 5t] intersects the plane 2x + y + z = 0 at the point when t = Note: You can earn partial credit on this problem.
Determine whether the line x = 7 – 4t, y = 3 + 6t, z = 9 + 5t and the plane 4x + y + 2z = 17 intersect or are parallel. If they intersect, then find the point of intersection
find an equation of the tangent plane and parametric equations of the normal line to the surface at the given point z=-9+4x-6y-x^2-y^2 (2,-3,4) Find the relative extrema. A) f(x, y) = x3-3xyザ B) f(x, y)=xy +-+- Find the relative extrema. A) f(x, y) = x3-3xyザ B) f(x, y)=xy +-+-
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...