Find a vector parallel to the line of intersection of the two planes
2x - y + z = 1, 3x + y + z = 2.
Find a vector parallel to the line of intersection of the two planes 2x - y...
Find the the line of intersection of the two planes 3x - 2y + z=1 2x+4-32=3
Find the equation of the line in symmetric form that is the intersection of the planes: 3x-y+z=6 2x+y+3z=14
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.
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...
Please help with these problems. 8. Consider the two planes listed below 2x - y + z = 1 +y-2=2 These two planes intersect at a right angle. Show that this is true by showing their normal vectors are perpendicular. Find the parametric equations of their line of intersection. Is the line of intersection (call this L) for these planes parallel, perpendicular (intersect at 90 degrees), skew (not parallel, don't intersect), or none of the above to the line: F(t)...
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 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
explain why the line of intersection of two planes must be parallel to the cros product of a normal vector plane and a normal vector to the second.
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.