The intersects Line Li: 0.5C1- x)= 2= 0.5z the plane defined by B(2,2っ7), C くりっ2) at point P- Find equations that passes through p and I to Li. D-SZ %3D 3 %3D the points A cul,), the of the Line L 2 in the plane equations of Line L3 that passes through P Find also the in this plane and is perpendicular to Le -2

Q: The plane through the points (-4,-8,-1), (8,3,5), (7,8,6) has equation Ax + By + Cz= D. If A = - 19…

A: Since plane passes through the given points therefore

Q: Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane. You must…

A: Given problem:- Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a…

Q: The distance between the parallel planes ax + by + cz + dq = 0 and ax + by + cz + dz = 0 D = a² + b2…

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Q: The given points are (4,2,2), (2,6,2) and (0,2,6). Find the general equation of the plane. Solve in…

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Q: Consider the points P3 (а, - 4, - 4) Q=(-5, – 4, – 5) R=(- 1, - 1,- 3) a) Find the value of "a" so…

A: The plane passing through the point x1,y1,z1 and having a normal vector n=a,b,c can be represented…

Q: e. (-27,0,2)

A: Equation of the line is x-325=y-65 and z=2

Q: The plane through the points (-1,-2,-2), (-5,-3,2), (-5,2,7) has equation Ax + By + Cz = D. If A = -…

A: A = -25 B = 20 C = -20 D= 25  For detail....go through the solution.... You can solve this problem…

Q: Let A be the point with coordinates (-3, 2, -1) and let B be the point with coordinates (2, 0, 0).…

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Q: (i) (ii) Determine the equation of the plane M which is perpendicular to the planes with the…

A: To find the equation of a plane perpendicular to two given planes, we can use the cross product of…

Q: Find the intercepts of the plane 4x+y+10z=40 . Write your answers as points (a,b,c) where a,b and c…

A: Given equation of the plane is 4x+y+10z=40. We have to find different intercepts.

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: What are the coordinates of point P, the image of point (3, –4) after Rywx? А. (3.4) B. (-3,4) С.…

A: The point given is (3, -4)

Q: Q7) The equation of the plane contains the points (3,2,1), (2,1,-1) and (-1,3,2) is 2x-9y-5z=16. * F

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Q: Find the distance between each pair of points: a) (0, - 3) and (4, 0) c) (3, 2) and (5, - 2) b) (-2,…

A: Distance between two points x1, y1  and x2, y2 is  d = x1 - x22 + y1-y22  a) (0, -3) and (4, 0) d =…

Q: nterseeting Lines Finad the plane determined by the Loi Xi=l-2t, , J="l-st,, 2= -2+t, L2: X2=-3+t2,…

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Q: Find the line perpendicular to y=2x-3 and through the point (2,-3) B) find the lines both parallel…

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Q: What is the equation of the plane through the point (4, -2, 3) and parallel to the plane 3x - 7z =…

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Q: Do three points determine a plane?

A: We know by following ways plane can be determined: 1. Three non collinear points determine the…

Q: В4, 3) 1) Is the figure a rectangle? Explain your reasoning. A(-2, 1) C(5, 0) Slope of: AB: DC: Are…

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Q: 2- 5 Find the equation of the line parallel to the line graphed that passes through the point…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.