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 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.
Consider the following planes. x + y + z = 1, x + 5y + 5z = 1 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (X(t), y(t), z(t)) = ( 1, – 4t, 4t (b) Find the angle between the planes. (Round your answer to one decimal place.) 10.7 Xo
Find the vector equation for the line of intersection of the planes 52 - 5y + z = 2 and 5x + z = -1 =( ,0) +t(-5, r= ).
Find the equation of the line in symmetric form that is the intersection of the planes: 3x-y+z=6 2x+y+3z=14
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.
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
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.