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: b) Find the equation of the line passing through the points P1 ( 3, 7, 9) and P, (8, 10,12).

A: Given that: Two points are: P1(3, 7, 9) and P2(8,10,12)

Q: Find the area of the triangle formed by the lines repr

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Q: The distance of the line 7x+ y- 5=0 from the origin is A 2 B V2 D2/2

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Q: For the line 3x2 - 2x - 21= 0, how did you get the figure 3x2 ?

A: NOTE: Refresh your page if you can't see any equations. . find the determinant of the matrix

Q: Plane continued 32. (-5, 2) and (1, 4) 33. (1, 3) and (6, 1) Ay -4 4 -2 -2 -4 -2 -2 2 -2 -2 34. (0,…

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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: Q3, Passes through (4,10) and Perendicular to the line 6X-34=5.

A: Hope you get it

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

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Q: Find the equation of perpendicular bisector of the line s oining the pointsA(2, 3) and B(6, −5).

A: Provided that    A=(x,y)=(2,3) and B=(x',y')=(6,-5). The slope of AB is given by s, which can be…

Q: Use the method of completing the square to change General form to vertex form В. y = x + 8x + 3

A: “Since you have posted a question with multiple subparts, we will solve the first three sub-parts…

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.