For planes 2x + y - z = 2 and 2x + 3y + 5z = 4

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: (b) Describe the relationship between each pair of planes, and determine any intersection (iii)…

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Q: Find the equations of the line formed by the intersection of the planes P1= x-6y+2z=12 and…

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Q: Find the distance between the two points: D(2,4) and C(6,7). Put in the number answer only.…

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Q: Michael plots and connects the following points: A(-4,6), B(1,5), C(0,0), and D(-5,1).

A: Solution: The objective is to determine which best describes the quadrilateral formed?

Q: Find the foot of the perpendicular drawn from (4, 1) upon the straight line 3x - 4y + 12 = 0.

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Q: A line passing through the points (a, 2a) and (-2, 3) is perpendicular to the line 4x + 3y + 5 = 0.…

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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.