6) Consider the plane P : x+y – z = 0 in K³ that contains both the points P1(1,0, 1) and P2(-1,1,0). Answer the following questions: 6.1) Write down the parametric equations of the straight line L that contains both P and P2. 6.2) Use an appropriate system of linear equations to find the equation of the plane that contains the points P and P2, and is perpendicular to P.

Q: a) Find the best straight line fit to the given data points (-3,7), (1,–1),and (3,–7). b) Find the…

A:

Q: If a line is parallel to the vector 8i + 5j + 3k and passes through the point P = (6,2,4), then the…

A:

Q: Find an equation of the plane with the given characteristics. The plane contains the lines given by…

A:

Q: Consider three points in three-dimensional space: А %3 (15, 2, —3), В %3 (2, —3, 15), С %3 (-3, 15,…

A: we know plane equation is <x-a, y-b, z-c>.n=0

Q: If a line is parallel to the vector 4i + 10j + 7k and passes through the point P = (7,7,4), then the…

A: Solution

Q: 3. Find the equation of the plane that includes the point (-1,0,7) and is parallel to the plane…

A:

Q: A)Find the equation of the XZ plane. B)Finde the equation of the plane ,each of whose points is…

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Q: III. Consider the line ₁ given by the symmetric equations +1=-y-1 B 2 and the line ₂ given by the…

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Q: Convert the polar coordinates (-8, 2π/3) into rectangular coordinates. Convert the rectangular…

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Q: Find the equation of the plane that contains both of the lines given below. Line 1: x = 1+t, y = 2+…

A: Line 1 : x=1+t, y=2+2t, z=3-t        ⇒a⇀=1, 2, 3, l⇀=1, 2, -1 Line 2 : x=1-s, y=2+4s, z=3+2s…

Q: If a line is parallel to the vector 3i + 9j+ 6k and passes through the point P = (5, 5, 4), then the…

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Q: Find the equation of the plane that contains the line r¡(t) = (1 + lt, –1+t, 2+ 8t) and the point…

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Q: 2. Write the plane equation when it passes through a point Mo(11,2) and is: a) perpendicular to the…

A: We have to find the equation of the plane.

Q: Find an equation of the plane that passes through the point (1,2,3) and which is orthogonal to the…

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Q: 2) Find an equation of the plane that contains all points that are equidistant from the points…

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Q: 2. Give the parametric system of equations of the line given by the equations: 2x = 4 – 3y = ±1 Give…

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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.