which one of the following pair of planes is parallel? 1. O x-4y-3z-2=0 dan 3x-9y-12z-7=0 2. O 1/4 x-y+2z-5=0 dan x-4y+8z-5=1 3. O 4x-y+2z=5 dan 7x-3y+4z=8 4. O 2x-y+2z=3 dan 7x-3y+4z=8

Q: Which of the following four planes are parallel? Are any of them identical?  Plane 1: 3x + 6y - 3z…

A: Given, the 4 planes we have to choose which of the four planes are parallel or identical.

Q: Find the distance between the given parallel planes 4x - 5y+z = 16, 8x – 10y+ 2z =3 46 a. 4/21 29 b.…

A: The distance between two parallel planes ax+by+cz+d1 = 0 and ax+by+cz+d2 = 0 is given by…

Q: The diagram approximately Illustrates how the planes intersect. x+y+z+1=0 2x+2y+2z+1= 0 3x+3y+3z+1=0…

A: Given planes are,    x + y + z + 1 = 0  2x + 2y + 2z + 1 = 0  3x + 3y + 3z + 1 = 0    Thus, normals…

Q: Which of the following is the equation of the plane where x-2y + 32 = 3 and x+y+z=2 and passes from…

A:

Q: 13. Find the distance between the two given parallel planes. x+y-3z = 4 x+y-3z=12

A: Given that:

Q: A linear combination of of u = 3 and v= 4 will give a plane in R³. Given that the point (2, 1, −1)…

A: Consider the given linear combination, u=132 and v=-144 will give a plane in ℝ3. The equation of a…

Q: Which of the following is the equation of the plane that is pas the point P(2, 2,–2) and vertical to…

A: Given, the equation of the plane that is passing through the point   P(2, 2,-2) and vertical to the…

Q: Show that the lines determined byr 1(t) = < 7, 3 − 4t, 2 + 6t> andr 2(t) = <6 − t, 3 + 8t,…

A: Given: r1(t)=7,3-4t,2+6t r2(t)=6-t,3+8t,9-5t For r1. x-7=y-3-4=z-26=t For r2. x-6-1=y-38=z-9-5=t…

Q: Determine whether the following planes below are parallel, perpendicular, or neither. 1) x+2y-6z=0…

A: Given the pair of curves , we need to determine whether the two curves are parallel, perpendicular…

Q: 16.) Which of the following lines is parallel to the plane? 2x- y – 4z = 4 (a) x=2+1, y =-2-2t,…

A:

Q: 4. Determine whether the planes are parallel, perpendicular or neither. If neither, find the angle…

A: Two planes are neither perpendicular nor parallel.

Q: Find the distance between the given parallel planes. 2x- 2y +z = 10, 4x-4y+2z= 1 4x – 4y+2z = 1 19…

A:

Q: Consider the line L(t) = (-5 – 3t, –1 – 4t,4+5t). Then: L is ? to the plane 7y – 21x – 7z = 63 L is…

A: Given the line  L(t) = -5-3t, -1-4t, 4+5t ⇒ L(t) = -5, -1, 4 + -3t, -4t, 5t ⇒ L(t) = -5, -1, 4 + t…

Q: Are the following planes parallel or perpendicular or none? 3r+2y-5z – 9 = 0, 3x– y+2z – 9 = 0

A: Consider the given plane. The general for of the plane is defined as, A1x+B1y+C1=DAnd,A2x+B2y+C2=D…

Q: The line L(t) = (3+t, 12+5t, -12-5t) intersects the plane 5x - 5y = 15 at what point?

A:

Q: Determine whether the planes 3x−4y + 5z = 0. and −6x + 8y−10z−4 = 0 are parallel.

A: The given planes are, 3x-4y+5z=0 and -6x+8y-10z-4=0

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,-2)…

A:

Q: 1. Consider the planes P and Q given as 2x- 3y +2 = 3 and 4x- 6y + 22 = 5. Are P and Q parallel?…

A:

Q: which of the following is the equation of the plane that is passing through the point P(2,2,-2) and…

A: Given P( 2, 2, -2) and planes  x+2y-3z=3 and x+y+z=2

Q: 24. Which of the following lines is not parallel to the other three? a. 7=(3,-5,-3) + s(2,-3,1), s e…

A:

Q: Find the distance between the given parallel planes. 2z = 2y – 6x, 3z = 1 – 9x + 3y

A: Find the equation by first converting both the equation as the parallel planes then find the answer.

Q: Which of the following is the intersection point of the plane 5x-2y-3z=0 and X = 5-t the line y =…

A:

Q: Consider the two planes in R3 given by the equations: x+2y+3z-10=0, and-2x-4y-6z+1=0

A: The planes ax+by+cz+d=0 and ex+fy+gz+h=0 are parallel when the relation ae=bf=cg is satisfied. The…

Q: The diagram approximately illustrates how the planes intersect. x+y+z+1=0 2x+2y+2z+1=0 3x+3y+3z+1=0…

A: True

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2, –2)…

A: The equation of the plane passing through the points (x0 , y0 , z0) and perpendicular to a vector…

Q: Which of the following is the equation of the plane containing the points (2,1,2), (4,1,0) and (5,0,…

A:

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and…

A:

Q: 2. Which of the following points lie on the plane 11x-2y-4z + 2 = 0 A) (4, 2, 6) B) (11,2,-4) C) (4,…

A:

Q: Which of the following is a point on the plane with equation n = (-3, -2, 2) + t(2, 2, -2) + s(1,…

A:

Q: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

A:

Q: The diagram approximately illustrates how the planes intersect. x+y+z+1=0 2x+2y+2z+1= 0 2x+2y+2z+2=…

A: We have to solve given problem: Concept:

Q: Determine whether the planes are parallel, perpendicular, or neither. Зх — 12у — 9г — 3 %3D 0 (a)…

A:

Q: Determine if the pair of planes are parallel: (a) 4x – y + 2z=5and 7x – 3y + 4z =8 (b) x – 4y – 3z –…

A:

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,-2) and…

A:

Q: 1) which of the following pairs of planes cross along a straight line a) x+2y-3z-4=0…

A: General Equation of Plane: The general equation of the plane is given by where are constants Line:…

Q: Determine whether the planes are parallel or identical −x + 4y − z = 6, −(5/2)x + 10y − (5/2)z = 15

A: Given information: The planes are −x+4y−z=6, −52x+10y−52z=15. Calculation: The normal vectors that…

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and…

A:

Q: 19. Find the angle between the line and the plane of the following equations, a. 4:r= 2i +3j-k+(2į -…

A:

Q: Find and describe the intersection of the following planes: T:3x+2y+5z-4 = 0 T: 4x-3y+=+1=0

A:

Q: Which of the following is an equation for the line through the point (2, 3) and perpendiçular to the…

A:

Q: 10. Is there any value of k that will make the planes kx + 2y-2kz + 3 = 0 and x-2ky + 5z = 0…

A: Two planes are perpendicular iff their normal vectors are orthogonal

Q: Find an equation for the plane parallel to the line x = 1 − 2t, y = 2 + 3t z = 1 + 2t and that…

A:

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,-2) and…

A: To find the equation of the plane passing through the point P 2,2-2 and vertical to the line of…

Q: B. If the two planes ax-4y - 9z = 4 and perpendicular. Find the value of a. x-2xy + 3z = 1 are

A: Topic = Geometry

Q: Determine whether the following planes below are parallel, perpendicular, or neither. choose one O…

A: Solution: Given: 1. x+2y-6z=0    -6x -12y +36z = -3

Q: Determine whether the planes are parallel, perpendicular, or neither. 2x – 10y – 8z – 1 = 0 (a) | -x…

A: Given problem:- Determine whether the planes are parallel, perpendicular, or neither.   (a) 2x…

Q: For the given planes P : x + y + 2z – 6 = 0, P2 : 2x – y+ z – 9 = 0 and P3 : x – y + 4 = 0, which of…

A:

Q: find the line of intersection (if any) of the given planes. x+3y+2z - 6= 0, 2x – y + z +2= 0 O a.…

A: Answer

Q: Which of the following are symmetric equations for the line of intersection of the planes 2x+y+−6z=2…

A:

Q: Determine whether the planes are parallel, perpendicular, or neither. (a) P1:2r - 3y – 8z – 2 = 0…

A: