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Find the equation for the plane through the points Po(-5, -2,4), Q.(-3,-1,1), and Ro(-1,4,1). The 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.) 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, -3,5), Q,(1,4, - 3), and R. (2. - 3. - 4). The equation of the plane is - 63x - 5y - 28z =1. (Type an equation.)
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
(41) find the equation of the plane passing through the points A(3,-2,0), B(2,0,3), and C(1,-1,1) in (i) vector form (ii) parametric form (iii) cartesian form
4.3 Find the equation of a plane that passes through (1,-2,4), (2,4,-4), and (1.25,-0.5, 2) using cross products and normal vectors. To find the equation of the plane, pick a point not on the plane.
(1) Equation of a Plane Let P(1,1,-1), Q(1,2,0), R(-2,2,2). (la) Compute PQxPR. (1b) Find the equation of the plane through P, Q and R in the form ax+by+cz=d. (10) What is the angle formed by this plane and the xy-plane?
(a). Find the equation of the plane through Po = (1,2,1) with normal vector i = (3,1,2) (b). Find the equation of a plane through Po = (2,3,1) and parallel to the plane P:3x + 2y -- z = 4 | Q4. Consider the line z-3 y-2 3 L, : * - - - L2: **** 2+5 y-3 -1 2 (i). Write the equations of both lines in parametric form (ii). Find the direction vectors V1, V2 of the lines...
Find the equation for the plane through Po(-4.1. - 3) perpendicular to the following line. x= - 4 +t, y = 1-2t, z = - 4t, -00 <t<00 The equation of the plane is 2
(3 points) Find an equation of the plane through the three points given: P = (0,3,0), Q = (-3,7,2), R = (-3,2,4) = 18
a) Let L be the line through (2,-1,1) and (3,2,2). Parameterize L. Find the point Q where L intersects the xy-plane. b) Find the angle that the line through (0,-1,1) and (√3,1,4) makes with a normal vector to the xy-plane. c) Find the distance from the point (3,1,-2) to the plane x-2y+z=4. d) Find a Cartesian equation for the plane containing (1,1,2), (2,1,1) and (1,2,1)