Consider the points P3 (а, - 4, - 4) Q=(-5, – 4, – 5) R=(- 1, - 1,- 3) a) Find the value of "a" so that the plane containing P,Q,R is parallel to the plane Зх + 16у - 30z368 a= 5 b) Use the value of "a" found above to write an equation of the plane containing the points P,Q,R

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: Find an equation of a plane containing the three points (-3, -1, 1), (-4, -6, 0), (-4, -5, 2) in…

A: This question is related to equation of plane, We will solve it using given information.

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

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

Q: Write down the equation of the plane containing the point (-8, 3, 7) and parallel to the plane given…

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Q: Find the plane that contains:  P1(-1,1,-2), P2(-2,2,4),P3(0,2,-2)

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

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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: How would I find the equation of the plane that goes through the points (3,2,1), (4,4,1), and…

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Q: Consider the lines r(t) = (2-3, +4--1) and r(s) (+4,- +3,3+6). A. Show that these two lines…

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Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

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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.