Find the plane z = a + bx + cy that best fits the data points (0, -3, 0), (5, 0, 0), (3, –1, 1), (1, –2, 1), and (-1, -4, -3). Need Help? Read It Watch It

Q: Write the equation for the plane. The plane passing through the points (1,2,6), (- 1,4,0), and…

A: Finding the equation of plane

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 with the given characteristics. The plane passes through (0, 0, 0),…

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Q: Find the plane z = a + bx + cy that best fits the data points (0, -4, 0), (5, 0, 0), (4, –1, 1), (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…

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: Find an equation of the plane. The plane that passes through (7, 0, −4) and contains the line x = 3…

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Q: Find the distance the point P(1, 6, 3), is to the plane through the three points Q(-4, 3, 1), R(-9,…

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Q: (a) Find the point at which the given lines intersect. r= (1,3, 0) + t(3, -3, 3) r = (4, 0, 3) +…

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A: on using the formula to get the equation of the plane we get

Q: Find the plane z = a + bx + cy that best fits the data points (0, -4, 0), (5, 0, 0), (4, -1, 1), (1,…

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

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Q: Find the equation of the plane passing o= 6,0,6), through the points A= (-4,5,-2 ) and 8= (-4,0,1)…

A: Equation of plane

Q: Find an equation of the plane with the given characteristics. The plane passes through (-2, -3, 4),…

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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: Find the plane z = a + bx + cy that best fits the data points (0, –4, 0), (5,0, 0), (4, –1, 1), (1,…

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Q: At what point does the plane through A = (1,0, 0), B = (2,1, 1), and C = (-1,3, 4) cross the y axis?…

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Q: (a) Find the point at which the given lines intersect. (1, 2, 0) + t(2, -2, 2) = (3, 0, 2) + s(-2,…

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Q: d an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4,…

A: Given; Points- (0,0,0),(4,0,6),(-4,-1,8)

Q: wnd the point of intersection of the line through (1, -3, 1) and (3, -10, 5), and the plane given by…

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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 with the given characteristics. The plane passes through the points…

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Q: Q3// :- Write an equation for the plane containing points P=(1,1,-2),Q=(0,2,1), and R=(-1,-1,0)

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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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 equation of the plane with the given description. Contains the lines r1(t) =〈2, 1, 0〉+〈t,…

A: Find the equation of plane containing two lines: r1t=2,1,0+t1, 2, 3 and r2t=2,1,0+t3, 1, 8.…

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

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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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).

A: Given the points are A(3,3,3) , B(5, 5, 5) and C(0, 5, 9) Equation of the plane passing through…

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 with the given characteristics. The plane passes through (0, 0, 0),…

A: Given: Consider points : P(0,0,0), Q(4,0,4), R(-6,-1,9)

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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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: Z= (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0, 0,…

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: (a) Find the point at which the given lines intersect. r = (1, 3, 0) + t(3, -3, 2) r = (4, 0, 2) +…

A: Introduction: When a line in three dimensional Euclidean geometry passes through a point with a…

Q: Parameterize the plane that contains the three points (−1,3,2), (12,12,−8), and (30,15,40).…

A: The given points are: (-1, 3, 2),  (12, 12, -8),   (30, 15, 40)

Q: Find an equation

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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 an equation of the plane. The plane through the points (0, 2, 2), (2, 0, 2), and (2, 2, 0)

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Q: Write the equation of the plane. The plane containing the points (6,-3,1), (5,-4,1) and (3,–4,0).

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Q: estion 7 Find an equation of the plane containing the points A=(1,0,2), B = (-1,1,2), C= (5,0,3).…

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Q: Find an equation of the plane. The plane that passes through the point (3, 4, 5) and contains the…

A: Given

Q: Graph the plane: II = {(a + B,a + Y, B + y)[ a, ß, y ER, a + ß + y = 1}

A: To graph the below plane. α+β,α+γ,β+γ|α,β,γ∈ℝ,α+β+γ=1

Q: Find the equation of the plane passing through the points O = (0,0,0), A = (2,2, –4) and B = (-4,0,…

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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 an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: Find an equation of the plane with the given characteristics. The plane passes through (-2, -4, 3),…

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