Find parametric equation for the line of intersection of the planes
Find the point of intersection of a line
and line
Find an equation of the plane that contains the line
and orthogonal to the plane
Find parametric equation for the line of intersection of the planes Find the point of intersection...
Question 12 Find parametric equations for the line of intersection of the planes - 2y+z= 1 and 2x + y - 3x = -3. Does the line L intersect the plane 2x - y - 3x = 1? If so, at what point? Note: This is the review exercise at the end of Lecture 2.
Find the equation of the plane through the line of intersection of the planes x-z = 3 and y+3z = 4 and perpendicular to the plane x+y+z = 1.
please show steps for all: 2. Given the planes + y - 43 and x-2- a.. Find the angle of intersection of the planes. b. Find the parametric equation of the line of intersection (L) of the 2 planes. c. Determine the equation of the plane orthogonal to L and containing the point(0,4,0) d. Determine the distance from the point (0,4,0) to L.
Find a plane containing the point (2,3,−1) and the line of intersection of the planes 2x+y-2z=22 and x+2y+3z=-14 The equation of the plane is
Find the equation of the plane that passes through the ine of intersection of planes x+z=1 and y+2z=3 and is orthogonal to the plane x+y+z=34256. Express your answer in general form.
Find the equation of the line in symmetric form that is the intersection of the planes: 3x-y+z=6 2x+y+3z=14
Find a plane containing the point (-7,4,8) and the line of intersection of the planes - 2 + 4y + 2z = 21 and 6x + 7y - 5z = 46
In Exercises 21-22, give the equation of the line that is the intersection of the given planes. 21. p1: 3(x-2) +(y 1)+4z 0, and p2: 2(x-1)-2(y+3) +6(2-1) 0 In Exercises 23-26, find the point of intersection between the line and the plane. 26. line: (1,2, 3) +t (3, 5,-1), plane: 3x-2y- z=-4 In Exercises 27-30, find the given distances. 27. The distance from the point (1, 2,3) to the plane 3(x-1)+(y 2)+5(2-2) 0. In Exercises 21-22, give the equation of...
5. Find parametric equations for the line through the point (0, 1,2) that is orthogonal to the line x = 1 + t, y 1-t, 2t, and intersects this line. (Hint: Try drawing this scenario in two dimensions, ie. draw two orthogonal lines and a point on each line away from the intersection. How would you find the direction vector?)
uestion 7[value16jp (a) Find parametric equations for the tangent line to the curve of intersection of the cvlinders y -r2 and z - r2 at the point (1, -1,1) (b) Find an equation for the osculating plane of the curve ア(t) 〈cos 3t, 4t, sin 3t) at the point (-1.4T,0). uestion 7[value16jp (a) Find parametric equations for the tangent line to the curve of intersection of the cvlinders y -r2 and z - r2 at the point (1, -1,1) (b)...