Find the centroid of the triangle if the vertices are  (0,0) , (4,0) and (0,6)

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 the coordinates of the centroid of the triangle with the given vertices. X(1, 4), Y(7, 2), Z(2,…

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Q: 2. The plane containing the point (-8, 3, 7) and parallel to the plane given by 4x+8y-2z=45.

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Q: Find the centroid (ã, §) of the triangle with vertices at (0, 0), (2, 0), and (0, 8). || 18

A: Recall: Centroid of a Triangle with vertices are (x1,y1) , (x2,y2) and (x3,y3) is…

Q: Find the centroid (ĩ, g) of the triangle with vertices at (0, 0), (10, 0), and (0, 9).

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Q: Find the coordinates of the centroid of APQR with vertices P(-2,5) , Q(4,1) , and R(-2,- 3). The…

A: Explanation of the answer is as follows

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 centroid (x¯,y¯) of the triangle with vertices at (0,0), (6,0), and (0,1).

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Q: Find a scalar equation of the plane that contains the points (−1, −3, 1), (1, 0, 3), and (2, 7, 0).

A: We are going to solve

Q: Find the coordinates of the centroid of the triangles whose vertices are: a. (5.7), (1, -3), (-5.1);…

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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: Do the vectors (1, 0, 0), (0, 1, 0), and (2, 3, 0) lie on the same plane? Briefly explain how you…

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Q: If the coordinates of the mid-points of the sides of a triangle are (1,1) ,(2,-3) and (3,4) .Find…

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Q: Find the distance between the point (5,-4, 1) and the plane containing the points (4, -2, 3), (-1,…

A: Here we have to find the distance between the point (5,-4,1) and the plane containing the points…

Q: Find an equation of the plane passing through the points.(3, 2, −2), (3, −2, 2), (−3, −2, −2)

A: Vector equation of the plane passing through the three points with position vector  Now , plane…

Q: 7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6). В. (0, -1) A. (0,…

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Q: Find the centroid of the triangle whose vertices are at points (3,4). (6.-9) and (6,-2). asap pls

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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: The plane through the points (1, 2, 3), (1, – 1, 1), and (–1, 1, 1). |

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Q: y -6- 4- 3- 2- 1- -3 2 -1 0 12 3 4 5 6 -1- -2- R -3- your work on question 10, classify this…

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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: 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 an equation of the plane passing through the points.(1, −2, 1), (−1, −1, 7), (2, −1, 3)

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Q: If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates…

A: On solving this we will get:-

Q: Apply Gram- Schmidt process to the vectors 3

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Q: A point moves so that sum of the squares of its distances from the vertices of a triangle is always…

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Q: Z is a complex variable, z=x+iy

A: The z is complex variable with z = x + i y , and the given vertices are (0,0),(1,0),(1,1) and (0,1).

Q: Find an equation of the plane. The plane through the points (0, 6, 6), (6, 0, 6), and (6, 6, 0)

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Q: Find an equation of the plane. The plane through the points  (2, −1, 3), (6, 4, 6), and (−3, −3,…

A: Let the given points are - A=(2,-1,3) B=(6,4,6) And C= (-3,-3,-3)

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: Find the equation of the plane that passes through the point (−2, 8, 4) and contains vectors ⃗a…

A: The equation of plane passing through the point x0, y0, z0 and contins vector a→ amd b→ is n1(x -…

Q: 5. What are the coordinates of the centroid of triangle FGH: F(6,-1), G(12,4), H(15,-2)?

A: follow next step

Q: Find the equation of a plane passes through (1, 2, 3), (3,2,1) and (-1, -2, 2) ○ 4x - 3y + 4z = 10…

A: This question is based on finding equation of plane that passes through 3 points.

Q: Find the centroid of the triangle formed by joining the points A (3, 2), B (-1, 4), and C (5, -3).…

A: Explained below

Q: Find the plane passing through the points (1,-3,-3) , (0,0,-2) , (7,0,0).

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Q: Find an equation of the plane passing through the points.(0, 0, 0), (1, −1, 0), (0, 1, −1)

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Q: Find an equation for the plane passing through the points (– 5, 2, 3), ( – 1, 2, 5), and (– 2, – 3,…

A: We have to find equation of plane Passing through 3 points.

Q: Find the centroid (, ) of the triangle with vertices at (0, 0), (10, 0), and (0, 2). 19 120 y=

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Q: Find an equation of the plane: The plane through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1)

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Q: Find an equation of the plane parallel to the liner= and containing the points (2, 2,-1) and (1, 0,…

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Q: The centroid of a triangle lies at the intersection of the triangle's medians, because it lies…

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Q: Find an equation of the plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1) . Show all…

A: Given plane passing through given three points

Q: Find the centroid of the triangle whose vertices are  O(0,0) , A(4,0) and B(0,6)

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Q: Find the centroid (ã, g) of the triangle with vertices at (0, 0), (5, 0), and (0, 9). y=

A: In the question it is asked to find centroid of the triangle with coordinates (0,0), (5,0) and…

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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Q: Find a plane containing the point (3,-7,8) and the tine of intersection of the planes-4z +4y + 4z =…

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Q: Find an equation of the plane passing through the points.(0, −1, 0), (1, 1, 0), (2, 1, 2)

A: we have to find an equation of the plane passing through the points (0,-1,0), (1,1,0), (2,1,2)

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 4, 7), and (1,0, –1).…

A: The plane that passes through the point,       -2,1,1, 0,4,7 and 1,0,-1