
intersects the plane Q3: Find the point where the line x x = + 2t ,...
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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.)
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.)
Find the point at which the line intersects the given plane. x = y – 2 = 4z; 4x – y + 2z = 12 (x, y, z) = ( (x, y, z) = D
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)
Find the equation of the plane through the point (-2,8,10) and parallel to the line x=1+t, y=2t, z=4-3t
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.
Given find where the line tangent to r at t=2 intersects the plane through the three points (1,0,2), (-1,0,4), and (2,-1,1) F(t)(2t2-ti tk F(t)(2t2-ti tk
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.
Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
Find the scalar equation for the plane passing through the point P(-1,0,5) and containing the line L defined by x = 4-6t y=-2+2t z=4-2t