
5. (15 points) Find the line of intersection of the two planes. Show your work. 3x...
Find the the line of intersection of the two planes 3x - 2y + z=1 2x+4-32=3
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 a vector parallel to the line of intersection of the two planes 2x - y + z = 1, 3x + y + z = 2.
Find the equation of the line in symmetric form that is the intersection of the planes: 3x-y+z=6 2x+y+3z=14
1. (10 points) Find an equation of the line of intersection of the planes 2 + 2y +32 = 2 2 + y + z = 1
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...
3. Consider the two planes, P and P2, where Pi is given by the general equation 2x y+2-5 and P2 passes through the points (0,0,-1), (3,2,4) and (2, 4,5). (a) Find L, the line of intersection of the two planes. (b) Suppose another line, L2, has vector equation (x, y, z) = (8,3,-2) + t2(-2, 1, 1). 6 marks] Find where Land L2 intersect 4 marks
3. Consider the two planes, P and P2, where Pi is given by the...
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
3. Find two different planes whose intersection is the line x = 1+t, y = 2-4,3 + 2t. Show work.
please show work neatly, will rate! thanks
Given two planes in space: 2x – y + z = -4 and 5x + 3y - z = 4. Find the angle between these two planes and the symmetric equations of the line of intersection of these two planes.