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Given two planes in space: 2x – y +...
Please help with these problems. 8. Consider the two planes listed below 2x - y +...
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 equations of the planes that bisect the angles between the two planes P1: x+y+z=1...
Find the equations of the planes that bisect the
angles between the two planes
P1: x+y+z=1
P2: 2x-3y+z+1=0
7) Find the equations of the planes that bi sect the angles between the two planes Ix+y+z=1 92: 2 x - 3y + Z +-0
show all work and explanations for problem 4. please. thanks #3, 4: (a) determine whether lies...
show all work and explanations for problem 4.
please. thanks
#3, 4: (a) determine whether lies in , f is par- allel to o but not in ø, or l and go are concurrent. (b) If l and o are concurrent, find the intersection point and the angle between them. (c) Find the plane that includes f and is orthogonal to g. simply y+4 3, -1 ZI2 3. l: x = : 2x + 3y -z+14 = 0 3 (x...
Find a vector parallel to the line of intersection of the two planes 2x - y...
Find a vector parallel to the line of intersection of the two planes 2x - y + z = 1, 3x + y + z = 2.
vectors. Need help with those questions please 1a). In three-space, find the intersection point of the...
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 the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d =...
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
please show steps for all: 2. Given the planes + y - 43 and x-2- a.....
please show steps for all:
2. Given the planes + y - 43 and x-2- a.. Find the angle of intersection of the planes. b. Find the parametric equation of the line of intersection (L) of the 2 planes. c. Determine the equation of the plane orthogonal to L and containing the point(0,4,0) d. Determine the distance from the point (0,4,0) to L.
x =-y+2 = -z+2 The symmetric equations for 2 lines in 3-D space are given as:...
x =-y+2 = -z+2 The symmetric equations for 2 lines in 3-D space are given as: 1. L,: x-2 = -y+1 = z+1 a) Show that lines L1 and L2 are skew lines. b) Find the distance between these 2 lines x =1-t y=-3+2t passes through the plane x+ y+z-4=0 2. The line Determine the position of the penetration point. a. Find the angle that the line forms with the plane normal vector n. This angle is also known as...
5. (15 points) Find the line of intersection of the two planes. Show your work. 3x...
5. (15 points) Find the line of intersection of the two planes. Show your work. 3x - 2y +1 2x+y - 3x = 3.
this is differential equations, please write clearly and show work. thanks Use the methods of section...
this is differential equations, please write clearly and show
work. thanks
Use the methods of section 8.2 to find the general solutions of the given systems of differential equations in the following three problems. 1. = x + y dx dt dy dt = 5x - 3y
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 equations of the planes that bisect the
angles between the two planes
P1: x+y+z=1
P2: 2x-3y+z+1=0
7) Find the equations of the planes that bi sect the angles between the two planes Ix+y+z=1 92: 2 x - 3y + Z +-0
show all work and explanations for problem 4.
please. thanks
#3, 4: (a) determine whether lies in , f is par- allel to o but not in ø, or l and go are concurrent. (b) If l and o are concurrent, find the intersection point and the angle between them. (c) Find the plane that includes f and is orthogonal to g. simply y+4 3, -1 ZI2 3. l: x = : 2x + 3y -z+14 = 0 3 (x...
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 the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
please show steps for all:
2. Given the planes + y - 43 and x-2- a.. Find the angle of intersection of the planes. b. Find the parametric equation of the line of intersection (L) of the 2 planes. c. Determine the equation of the plane orthogonal to L and containing the point(0,4,0) d. Determine the distance from the point (0,4,0) to L.
x =-y+2 = -z+2 The symmetric equations for 2 lines in 3-D space are given as: 1. L,: x-2 = -y+1 = z+1 a) Show that lines L1 and L2 are skew lines. b) Find the distance between these 2 lines x =1-t y=-3+2t passes through the plane x+ y+z-4=0 2. The line Determine the position of the penetration point. a. Find the angle that the line forms with the plane normal vector n. This angle is also known as...
5. (15 points) Find the line of intersection of the two planes. Show your work. 3x - 2y +1 2x+y - 3x = 3.
this is differential equations, please write clearly and show
work. thanks
Use the methods of section 8.2 to find the general solutions of the given systems of differential equations in the following three problems. 1. = x + y dx dt dy dt = 5x - 3y
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