Question 5 Given a surface with equation (y 1) + (x + 2) + z = 4, what are the coordinates of the center? O (2,-1,0) O (1-2,0) O (-2,1,0) O (-1,2,0)

Q: Find the plane that gives the best fit to the 4 values b = (0, 1, 3, 4) at the corners (1, 0) and…

A: In this problem, we are looking to find the plane that gives the best fit to the 4 points (1, 0),…

Q: #5 What are the coordinates of A' if the figure is reflected across the y axis? B D а) (2,3) b)…

A: The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point.

Q: Find a parametric form for the line through the point (8, –6, –3) and perpendicular to the plane 2x…

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Q: Find an equation of the plane containing the point (2,1,-1) and parallel to the plane 3x – y + 2z =…

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Q: Find an equation of the plane that contains point A(5,1,1) and the line that is given with…

A: Please see the below picture for detailed solution.

Q: Find a set of parametric equations of a line passing through the point (3,2,-1), parallel to the xz-…

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Q: 3. Find an equation of the plane parallel to the plane 4x -z- 3y -4 = 0 and passes through the point…

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Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2). 2)…

A: To find the following equations of line , and area of a triangle.  Since you have posted a question…

Q: How do you find the parametric and symmetric equation of the line passing through the point (3, 2,…

A: We have to find the parametric and symmetric form of the line perpendicular to the given plane at a…

Q: Find the parametric equations for the line in which the planes x-2y+4z=2 and x+2y-2z=6 intersects

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Q: 3. Find a set of symmetric and parametric equations of the line passing through the point (1, 4…

A: This is the problem from the vector algebra and 3D geometry.

Q: Find the equation of the sphere with center c= (0, -1, 2) and radius r= 5. O x2 + y + 1)2 + (z + 2)2…

A: Biref answer is given below.

Q: 1. Let A be the sphere having diameter with endpoints (1,-9, -2) and (7,-1,8). (a) Give an equation…

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Q: Find the angle of intersection between S and P

A: You must have calculated the equation of the plane P, at part (a). plane P => 5x - 10y + 4z + 5…