Find a plane containing the point (-7,4,8) and the line of intersection of the planes -...
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 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...
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 We were unable to transcribe this imagey=0 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
In each case find () the point of intersection of the line and plane, and (ii) the angle between the line and plane: line plane r"(2i +4j-k}# 28 r-I 2 3-г 2x + 3y + z = 11 (c) 4 +K 3 2x+4y-1 0
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.
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.
(5) Equations for Planes. (a) Find an equation of the plane passing through (1,2,3) that is parallel to the plane r -y + 2z = 5. (b) Find an equation of the plane passing through the point (0,1,0) and containing the line r = (-t, 2t, 4t).
7. Three planes can intersect in a number of different ways. For each of the combinations below, find the single point of intersection if there is one. If there isn't, explain how the planes do intersect. 71: 67 + 2+ 3z – 9 = 0 a. 12: -2x - 5y + 32 - 4 = 0 7T3 : 5x – y + 2z + 3 0 2x – 3y + 5z – 2 = 0 b. 72: -5.0 + 2y...
1 point) Suppose that the line l is represented by r(t)- (12+ 2t, 23 +6t, 8 + 2t) and the plane P is represented by 2x + 4y + 52-23. 1. Find the intersection of the line & and the plane P. Write your answer as a point (a, b, c) where a, b, and c are numbers. Answer 2. Find the cosine of the angle 0 between the line l and the normal vector of the plane P Answer:...
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.