3. Find the point(s) of intersection for the following three planes. Ty : x - y...
vectors. Need help with those questions please 1a). In three-space, find the intersection point of the two lines: (x, y, z) = (-1,2,0] + [3,-1, 4) and [x, y, ) = -6, 8, -1] + [2,-5, -3). b) Determine a direction vector in integer form of the line of intersection of the two planes 2x + 2y+2-12-0 and (x, y, z)=(2,0,0]+${1,2,0]+(1.0,-2) [2,3] 2. What is the distance between the point (-81) and the plane 5x-2-2y+52 [2] 3. Find the point(s)...
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 line of intersection of the planes x + 2y + z = 7 and x - 2y + 3z = 13. x = 4t+4, y = t and z = 2t + 3 x=-4t+4, y = t and z= 2t-3 x=-4t+ 7, y=t and z= 2t + 3 x=-4t +4, y = t and z = 2t + 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 the line of intersection of the planes x + 2y + z = 9 and x - 2y + 3z = 13. x = -4t+ 7, y = and z = 2t + 2 x= -4t+9, y = 1 and z = 2t + 2 x = 4t + 7, y = tand z = 2t +2 x = -4t+ 7, y = ? and z = 2t - 2
Find the the line of intersection of the two planes 3x - 2y + z=1 2x+4-32=3
(3) Find the volume enclosed by the following two parabolic cylinders y = 2x +x2 and y2x2xand the planes x +y + z = 3, 2x + y + 7 - z = 0 (3) Find the volume enclosed by the following two parabolic cylinders y = 2x +x2 and y2x2xand the planes x +y + z = 3, 2x + y + 7 - z = 0
Find a vector parallel to the line of intersection of the two planes 2x - y + z = 1, 3x + y + z = 2.
Find the line of intersection of the planes x + 3y + z = 5 and x - 5y + 3z = 11. O x = -7t + 5, y = t and z = 4t + 3 x= 7t+2, y=t and z = 4t + 3 x=-7t + 2, y = t and z = 4t+ 3 x=-7t+2, y = t and z = 4t - 3
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...