Calculate gij for the distance between (x;) = (1, 1, – 1) and (yi) = (0,1,2) in %3D T-2 1] barred coordinate system i = Ax , where A = 3 1 2 -2 3]

Q: The image of (-2 , 5) under reflection y = -x followed by translation with translation vector (-3 ,…

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Q: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

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Q: Find the coordinates of a rectangle with corner points at A: (2,4), B:(2,8), C: (5,8), and D: (5,4),…

A: We have to find co-ordinate after translating 6 units up and 2 units left

Q: 4. Point C (-5, 4) is reflected over the X-axis. What are the coordinates of C'? O a) (5, 4) O b)…

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Q: Find eqation of line through the point (4,2,1) and (0,4,2)

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Q: Consider point P(4, 2) and line l with equation −3x+4y=6 .

A: Substitute x=4 and y=2 into the given equation. -12+8=-4

Q: 2. Find the equation of the place that pusses + through the point= (-1,2,1) Contains the line of…

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Q: Give a parametric representation for the straight line segment from the point (1,-1,2) to the point…

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Q: 5) Find the distance between the pole and the point (r, 0) = (-1, ). %3D

A: A detailed solution is given below.

Q: winting a TraniStation UIC A triangle has coordinates F(-2, 3), G(-4, 1), and H(-2,-2). The triangle…

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Q: z-3 = and L2: 3 Find distance between lines (L₁:1=¹= x-3 3 = +1 Z-2 -2 8 =

A: This question can be solved using the concept of shortest distance between two lines.

Q: 24 Resolveu = [8, 3, 5] into rectangular components, one of which is collinear with v = [3, 1, 2].

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Q: What is the distance from the point (1,9,3) to the xz-plane?

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Q: The line parallel to y=?x+5, passing through the point (3, 2)

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Q: Q5/A// Find the distance between the point P =(2, 1, 1) and line L:x = -2+ 5t, y= 2 +4t, z = -3-6t.…

A: Use distance formula

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.