Consider in R° the following planes: p:2x+y-3z=-18. 6:x-3y+4z=4. Let ë be a plane perpendicular to the planes p and 6, containin A Cartesian equation of the plane n, corresponds to: a) T : 5x + 11y+7z= 66 %3D b) T : 5x – 11Y+7z=44 c) T : 5x – 11y+7z=-44 57 + 112 +7z= -66

Q: Find an equation for the plane that passes through the point (-7, 10, –8), is parallel to the line x…

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Q: Consider the two lines Lı : x = 2- 3t, y = -1+ 2t, z = and L2: r = 2+ s, y = -1- 3s, z = that…

A: We will find out the required equation of plane

Q: 1. Find an equation of the plane that contains the line r = -2+ 3t, y = 4+2t, z = 3 - t and is…

A: We have to find

Q: Consider three points in three-dimensional space: А %3 (15, 2, —3), В %3 (2, —3, 15), С %3 (-3, 15,…

A: we know plane equation is <x-a, y-b, z-c>.n=0

Q: 2.) ( the plane 2x-3y+z =6, and is parallel to the line of intersection of the planes x-2y+z=4 and…

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Q: P be a point belonging to the line of equation: r:{2x−y−2=0 x+z−2=0 Knowing that the distance from…

A: Given: Point P belongs to the line r:2x-y-2=0x+z-2=0…

Q: Give an equation of the plane determined by the intersecting lines L1 and L2 L1 : x = 2t y = 4 – t z…

A: The equation of two lines is given as follows: L1: x=2t, y=4-t, z=3+t L2: x=2+s, y=-3+2s, z=s The…

Q: Find an equation for the line that is orthogonal to the plane 3x- y+ 2z =10 and goec through the…

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Q: Consider the plane with equation 3x – 2y + 4z =7. A point has x coordinate 1 and y coordinate 2. If…

A: We have to find z coordinate

Q: o Find an equahion for the plane throught (l,-l,3) parallel fo the plane 3x ty+Z =7

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Q: B) Find an equation for the plane through A(3,3, 3), B(5,5,5) and C(0,5,9).

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Q: 2. Assume that the plane P3 is perpendicular to the yz-plane, and the line l2 : x = 2t, y = t, z =…

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Q: Find the point in which the line through the (3,-1,2) perpendicular to the plane x +2y -5 z = 4…

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Q: Consider three points in three-dimensional space: A = (11,2, –5), B = (2, –5, 11), C = (-5, 11,2).…

A: Suppose P is a plane passing through a fixed point and a vector perpendicular to the plane or we…

Q: Consider the line L1 : ¤ = 3t, y =1+t, z=4+ 5t, and the plane II1 : -3x + y – 2z= 9. a) Find the…

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Q: 2. Given the planes P: 2(x-1)-(y+1)-2(z-2)=0, P₂: 4x-2y+5z=3\ and the point Q: (-2,7,4). a.…

A: Given: There are two planes P1 and P2. P1:2x-1-y+1-2z-2=0 andP2:4x-2y+5Z=3 Also, a point Q(-2, 7, 4)…

Q: Find the point at which the line meets the plane. x=3 + 3t, y = 4 + 5t, z = - 3+4t; x + y + z = 4…

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Q: Find the equation of the plane containing the line: x = 2 + 10t, y = 2 – 2t, z = 9 + 4t and parallel…

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Q: A) Given the two planes 2x-3y+z=7 and 2x-3y+z=11. Find the following: 1- Approve that these planes…

A: Suppose equations of two planes are :                                       ax+by+cz=dpx+qy+rz=s If…

Q: х —7 у-5 z-1 L: 4 -,P: 2x + y – 7z +1 = 0 6. 3

A: Given Data: Line: x-74=y-53=z-16 Plane: 2x+y-7z+1=0 Let t is a constant variable for line,…