Find the area of the triangle with the given vertices. Use the fact that the area of the triangle having u and v as adjacent sides is given by A = . x v|. (0, 0, 0), (1, 2, 0), (3, 4, –4) A =

Q: Find the midpoint of PQ.  P( -6, 7) and Q( 3, 1)

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Q: QR is located at Q(-5, -8) and R(-1, 3). Which pair of points would form a segment congruent to QR ?…

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Q: If a=[5,-2,4] and [0,-2,3], find a -16 O [-2,15,10] [2,-15,-10] O [-2,-15,10] 10 xò.

A: a→=[5,-2,4]b→=[0,-2,3]

Q: Find the value(s) of k such that the points (6, –1), (3, k), and (-3, –7) are vertices of a right…

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Q: Find the point P such that v Q = (8.75, -6.25, -4.5) P = PQ has the components (-0.25, -15.25,…

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Q: Find the distance between each pair of points.

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Q: e distance between 2u and-30.F

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Q: Plot each pair of points. Connect the two points in each pair. a) A(3, 4) b) C(-3,-1) c) E(5,-4) d)…

A: Plot each pair of points. Connect the two points in each pair.

Q: In the diagram, A is located at (0, 0), G is located at (5, 4), and I is located at (8, 4). Find the…

A: Given points: A is (0,0) G is (5,4) I is (8,4) Let the length of AC be 2a. Therefore, AF = CF = a…

Q: The distance d between two points is given. Find the value of b (b,4)(2,-1); d=5

A: Distance between two points is given d=5

Q: Find the distance dP1, P2 between the given points P1 and P2.   P1=(6,3) P2=(−2,4)

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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.