Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the intersection of the planes * .4x-y+z-2=O and 2x+y-2z-3=D0

Q: Find an equation of the plane. the plane through the points (0, 5, 5), (5, 0, 5), and (5, 5, 0)

A: use the equation of plane(formula) for finding  the equation .

Q: Find an equation of the plane through the three points given: = (5,0,0) , Q = (9, 1, 3) , R= (8, 4,…

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Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

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Q: Find the equation of a plane through the points (6, – 4, 4), (3, 6, – 4), (4, – 8, 3).

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Q: Find an equation of the plane passing through the given points. (2, -2, 19), (5, 1, 13), (4, -3, 18)

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Q: Find the equation of the plane through the points (2,-1,3), (2,0,–-1),and (0,7,2).

A: Given that three points and we find that equation of plane . Here i attached solution of this…

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11), and (1,0,-1).…

A: We need to find the equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11) and…

Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 4, 7), and (1,0, –1).…

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Q: Find the equation of the plane through (3, -1, 2), (4, 0, 2), and (5, 3, 1).

A: Vector equation of a plane passing through three points with position vectors a→, b→, c→ is…

Q: Find an equation of the plane. The plane through the point (8, -8, -8) and parallel to the plane 5x…

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Q: Find an equation for the plane through the points (3, 2, 3), (–1,2,0), (1,0, –1). The plane is

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Q: Find an equation of the plane that passes through the points (2, 4, 1), (2,2, –4), and (-–3,5, 3).…

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Q: Find an equation of the plane that contains the points (1, 2, 3), (3, 3, 2), (2,3, 5).

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Q: Find the equation of a plane through the points (– 8, 2, – 1), ( – 4, – 1, 8), ( – 8, 6, – 6). -

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Q: Find an equation of the plane passing through the points.(−4, −4, −4), (4, −1, −4), (−4, −1, −4)

A: Here given as

Q: Find the equation of a plane through the points (- 3, 2, 6), (– 8, 5, - 8), (4, – 4, – 1).

A: Given: Three points -3,2,6, -8,5,-8, 4,-4,-1

Q: Find an equation of the plane that passes through the points (1,5, 2), (3, 4, –2), and (-–5, 5, 1).…

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Q: Find the equation of the plane through (-1,6,2) and perpendicular to the join of (1,2,3) and…

A: We have to Find the equation of the plane through (-1,6,2) and perpendicular to the joining of…

Q: Find an equation of the plane. The plane through the points  (3, −1, 2), (8, 4, 5), and (−2, −2, −4)

A: Equation of a plane passing through (x1,y1,z1) , (x2,y2,z2) , (x3,y3,z3) is given by:

Q: ) Find the equation of the plane through the points: (2,4,5), (1,5,7), (–1,6,8).

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Q: Find the equation for the plane through the points (2, 4, 5), (1, 5, 7), and (-1, 6, 8)

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Q: Find an equation of the plane that passes through the points (3, 2, 1), (2, 1, – 1), and (-1,3, 2).

A: Given:3,2,1, 2,1,-1   and -1,3,2

Q: 2. Find the equation of the plane through the points (1, -3,2), (3,0,– 1), and (0,5,5).

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Q: Find the point on the plane −2 x+y−z =−9 that is closest to the point (3,−2,2) .

A: We have to find a point on the plane closest to another point.

Q: Find the equation for the plane through the points Po(-3,- 2, – 4), Qo(2,1,3), and Ro(3, - 2, – 5).…

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Q: Find an equation of the plane passing through the given points (2, 9, –9), (2, –9, 9), (-2, –9, –9)

A: (A) To find the equation of plane passing through below points. 2,9,−9, 2,−9,9, −2,−9,−9   (B) To…

Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 3, 5), and (1,0, –1).…

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Q: Find the equation of the plane that contains the points (3, 4, 6), (-2, 1, 1), and (-1,6,8).

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Q: Find an equation for the plane through the points (3, 4, 5), (-1, 2, 0), (-2, 0, 2). The plane is

A: Find an equation for the plane trrough the points (3, 4, 5), (-1, 2, 0), (-2, 0, 2) .

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 an equation of the plane that passes through the points (4, 3, 3), (2, 2, –2), and (-5, 3, 2).…

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Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

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Q: Find equations for the planes The plane through (2, 4, 5), (1, 5, 7), and (-1, 6, 8)

A: It is given that the plane passing through three points P2,4,5, Q1,5,7 and R-1,6,8. Equation of the…

Q: Find an equation of the plane. The plane through the points (0, 7, 7), (7, 0, 7), and (7, 7, 0)

A: Given:Plane passing through points 0,7,7 7,0,7 and 7,7,0To find; equation plane passing through…

Q: Find an equation for the plane through А (0, 0, 1), B (2, 0, 0), and С (), 3, 0).

A: The equation of a plane passing through three points Ax1, y1, z1, Bx2, y2, z2 and Cx3, y3, z3 is…

Q: Find an equation of the plane. The plane through the points (4, 1, 4), (5, −8, 6), and (−4, −5, 1)

A: ivenThe plane through the points(4, 1, 4) , (5, -8, 6) and (-4, -5, 1)we have to find the equation…

Q: Determine the equation of the plane that contains the points (3, 4, 1), (1, 7, 1) and (-1, -2, 5)

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Q: Find the linear equation of the plane through the origin and the points (6, 4, 2) and (6, –1, 1).

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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 the equation of the plane that passes through (-3, -4,2), (-3,4, 1), and (1, 1,-5)

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Q: Find an equation for the plane through the points (5, 3, 5), (2, 2,0), (1, 0, -2). The plane is

A: We have to find the equation of plane

Q: Find an equation of the plane. The plane through the origin and the points (2, -1, 5) and (9, 3, 2)

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Q: Find the equation of the plane that passes through (3,4,-1) and contains the line of intersection of…

A: To work out the equation of the required plane satisfying the given geometric conditions

Q: Find an equation of the plane passing through the given points. (9, 5, -5), (9, −5, 5), (-9, −5, −5)

A: This question can be solved using the concept of equation of plane passing through three non…

Q: Find an equation for the plane through the points (4, 2, 2), (1, 2,0), (-1,0,2).

A: given 3 points are x1, y1, z1=4,2,2 x2, y2, z2=(-1,0,2) x3, y3, z3=(-1,0,2)

Q: Find an equation of the plane through (0,5,0), (1,3, –2), and (-3, 4, 2).

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Q: Find the general form of an equation for the plane through the points (4,3,4), (-2,0,1),(0,–1,2).

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Q: Find the equation of a plane that goes through the points (- 4, – 4, 0), (3, 5, – 4), (0, – 2, 1).

A: Given: The three points ( – 4, – 4, 0) , (3, 5 , – 4) and (0 , – 2 , 1).   To find: The equation of…

Q: Find the equation of the plane through (2,4,-1) and contains the intersection line of the planes…

A: Let's find.

Q: Find an equation of the plane that passes through the points (3, 3, 5), 2, 2, —1), аnd ( —5, 3, 4).…

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