Find a plane containing the point (-6,-4,-8) and the line of intersection of the planes - 2x – 2y – z = 1l and 7x - 2y +z= 3 Add Work Check Answer

Q: Find equations for the planes The plane through (1, 1, -1), (2, 0, 2), and (0, -2, 1)

A: Use the definition as

Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: Find the equation of the plane that contains the point (5, 2, 7) and the line r(t) =

A: Topic = Geometry

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Q5/ find the equalion of bhe plane that Condains the Line: x-!= +!2= and the Point A(5,1,) %3D 2.

A: See the attachment

Q: Find the point, P, at which the line intersects the plane. x = - 2+ 2t, y = - 3+ 8t, z= - 10 + 4t;…

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Q: Q3: Find the distance between the origin and the plane containing the points A(1,1,0), B(-1,0,1) and…

A: Find the distance between the origin and plane containing the points A(1,1,0) , B(-1,0,1) and…

Q: Find an equation of the plane. The plane that passes through the point (1, –1, 1) and contains the…

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Q: Write the equation of a plane that intersects at the coordinate axes OX and OY segments 2 and -17…

A: Given that: Intercepts of  a plane with coordinate axes: OX=2 and OY=-17and Plane passes through…

Q: (vi) Find an equation of the plane that passes through the line of intersection of the planes x – z…

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Q: 2. Find a plane perpendicular to the planes x + y - 3z = 0 and x - 2y-2z = -1. Your answer

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Q: Find a plane through P0(2, 1, -1) and perpendicular to the line of intersection of the planes 2x + y…

A: The directional vectors of the planes are given by (2,1,-1) and (1,2,1)The directional vector of the…

Q: 25. Find an equation of the plane through the line of intersection of the planes x – z = 1 and y +…

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Q: Q6) Find the distance from the point to the plane. (2,-3, 4), x + 2y + 2z 13 (0,0, 0), 3x + 2y + 6z…

A: Distance from the point P (x1,y1,z1) to the plane Ax+By+Cz=D is  d=|Ax1+By1+Cz1-D|/square root…

Q: CAn equation of the plane through the point (2, 5, 7) that is parallel to the line 7 (t) = 3î + 2ĵ -…

A: Given problem:-  Find an equation of the plane through the point (2, 5, 7) that is parallel to the…

Q: 3 > Find a plane containing the point (-2,7,-7) and the line 7 (t) = +t < 3, 8, Check Answer

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Q: b) Determine, showing steps, whether the line [x, y, z] = []+¹] intersects the plane: 3 x + 7y + 8z…

A: We have to find the intersection of plane and line.

Q: Q1/ Find the distance between the point p(2,3,4) and the plane containing the following points…

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Q: Q4 /A// Determine the equation of the plane that contains the points P1 =(2, 1, -1) „P2= (3, 1, 4),…

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Q: whought c. The plane through (1,1,-1), (2,0,2) and (0,-2,1)

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Q: Q3: Find the distance between the origin and the plane containing the points A(1,1,0), B(-1,0,1) and…

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Q: Find an equation of the plane. The plane that passes through the point  (−2, 1, 3)  and contains…

A: Question : Find an equation of the plane.   The plane that passes through the point  (−2, 1, 3)  and…

Q: Q6) Find the distance from the point to the plane. (2, -3, 4), x+ 2y + 2z 13 (0,0,0), 3x + 2y + 6z 6…

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Q: find the line of interscetion f the plane given by 3X +6y-S=-3 f the plane -2x +?9 -そ =24 %3D

A: Given equation of planes3x+6y-5z=-3and -2x+7y-z=24We need an equation for all (x,y,z) that satisfy…

Q: Find the equetion of the plane contains the line x=3t,y=1+t, z=2t, and parallel to the line of…

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Q: Find the equation for the plane through the points Po(1,3,4), Qo(3, - 5, - 3), and Ro(1,1, - 5).…

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Q: Find the distance the point P(2,0,1) is form the plane 3x – 6y + 2z = 15. -

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Q: Find the point, P, at which the line intersects the plane. x= 8- 2t, y = - 10+ 2t, z = 9– 3t; 10x -…

A: Substitute the point of the line in the equation of the plane and solve for t

Q: Find an equation of the plane. The plane that passes through the point (-3, 2, 2) and contains the…

A: Recall: Equation of plane passing through the intersection of planes            A1x+B1y+C1z=d1and…

Q: Find equations for the planes The plane through (1, -1, 3) parallel to the plane 3x + y + z = 7

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Q: . Determine an equation of the lines described below line of intersection of the planes 4x - 3y + z…

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Q: Determine the point of intersection, if such a point exists, for the line €: (x, y, z) = (-1,-6, 5)…

A: Given: Equation of line as, l:(x,y,z)=(-1,-6,5)+n(1,3,-2) And the equation of the plane is given as…

Q: Q/ Find the angle between the planes (x+y+2=1)and (x-24+32%-1).And find the Symmetric equations for…

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Q: 2. Find the coordinates of the y-intercept of the plane (x, y, z)=(4,6,5) +s(2,3,1) + t(3,6,12)

A: To find out the coordinate of y-intercept.

Q: Q6) Find the distance from the point to the plane. (2,-3, 4), x + 2y + 2z 13 (0,0, 0), 3x + 2y + 6z…

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Q: 3. What is the distance from the line to the plane? 7-(2,3,8)+(1.1.1) 2x - 5y + 32 + 10

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Q: Find a plane containing the point (-1,-7,-8) and the line of intersection of the plan 6x + 4y + 4z =…

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Q: Find an equation

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Q: - Find the equation of the plane that passes through the three points A(1,0,0), B(0,2,0), and C(0,0,…

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Q: Find the distance the point P(2,0, 1) is form the plane 3x - 6y + 2z = 15.

A: we have to find the distance , the point p(2, 0, 1)is form the plane 3x-6y+2z = 15 i.e 3x-6y+2z-15 =…

Q: Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(−1, −2, −3) &…

A: Introduction: Since you have asked multiple questions, we will solve the first question for you. If…

Q: find the line of intersection of the two planes. j) Find the line of intersection of the plane given…

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Q: Find the​ point, P, at which the line intersects the plane. x=-5-6t , y=9-8t , z=8+7t ; 2x-4y-9z=-2…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

A: Given query is to find the equation of the indicated plane.

Q: ■ Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(-1, -2, -3)…

A: Distance of a point from plane

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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