Find an equation for the plane consisting of all points that are equidistant from the points (-4, 4, 1) and (2, 6, 5).
Find an equation for the plane consisting of all points that are equidistant from the points...
Find an equation for the surface consisting of all points P forwhich the distance from P to the x-axis is twice the distance from P to theyz-plane. Identify the surface.
1. (15 points) (a) (5 points) Find the equation of the plane a that contains points A(1,5,4) B(1,0, 1) and C(4, 0,5) (b) (5 points) Find the distance from the point D(2, 1,7) to this plane (c) (5 points) If plane 3 has equation y -3z+2x = 5, find a unit vector that is parallel to the intersection of a and B.
Find the equation for the plane through the points Po(2,-2,4), Qo(-5,5,-1), and Ro(2,-1,-2). The equation of the plane is (Type an equation.)
Find the equation for the plane through the points Po(2,-2,4), Qo(-5,5,-1), and Ro(2,-1,-2). The equation of the plane is (Type an equation.)
Q4. (5 points). Find the equation of the plane that passes through the line of intersection of the two planes x - 2y = 3 and y- z = 0 and parallel to the line x = y - 1 = 2+1 Q5. (4 points). Find the distance from the point A(1,2,3) and the line 2+1 y-1 2 Q6. (4 points). Give the name and sketch the surface whose equation is given by x2 + 2y2 – 12y – z...
Find a point on the y-axis that is equidistant from (6, -6) and (1, 1). Find a point on the y-axls that is equidistant from (6, -6) and (1, 1). (x, y) = (1
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...
18. Find the equation of a plane that passes through the points (2, -2, 1), -1, 0, 3) [5 marks] and (5,-3, 4). Does the point (2, 1, -3) lie on the plane?
Find the equation of a plane that passes through the points (2,-2,4), (1, 3,-2) and (5, 0, 1). Does the point (2, 3, -9) lie on the plane? 19. [5 marks] Assignment 2.1Bsp...pf Show All
Find the equation of the plane tangent to the following surface at the given points. x2 + y2 - 2? + 5 = 0; (4,2,5) and (-2,-4,5) The equation of the tangent plane at (4,2,5) is = 0. the equation of the tangent plane to the surface
Find an equation for the plane through the points (4,3,5), (1,0,-1), (0,2,-2). The Plane is?