3. Find two different planes whose intersection is the line x = 1+t, y = 2-4,3...
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
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 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
5. (15 points) Find the line of intersection of the two planes. Show your work. 3x - 2y +1 2x+y - 3x = 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...
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.
(8 points) Find the points of intersection in R3 of the line L(t) = (3-1, -2+1, 3t) and the unit sphere: x2 + y2 + x2 = 1 (Hint: Use x = 3t - 1, y = -2t + 1 and 2 = 3t in the equation of the sphere, and solve for t.)
1. (10 points) Find an equation of the line of intersection of the planes 2 + 2y +32 = 2 2 + y + z = 1
Can you Please answer these questions Multi Variable Calc 23. Parameterize the line of intersection of the planes 3y-22-4 and 61 2y +32-2. 25. Find a Cartesian equation for the plane conatining the line C(t) (2 t, 3 + 2t,t),-oo < t < oo and perpendicular to the plane r-y + z 3.