Determine whether the four points P:(1, 1, 2), P:(4, 0, 3), P:(1, 5, 10), and P.(7, 2, 4) lie in the same plane.

Q: Find a plane through the points (1,-6,1), (-5,-2,3), (-4,5,-4). Write your answer in the form Ax +…

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Q: Determine whether the points are collinear. (Three points are collinear if they lie on the same…

A: Given, the three points (-2, 1), (-1, 0) and (2, -2). We have to determine that whether these three…

Q: Describe a method for determining whether four points P, Q , R , and S lie in the same plane?

A: We will show a method for determining whether four points P,Q,R and S lie in the same plane.

Q: 7. determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) lie in the same plane.

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Q: Determine whether the points are collinear.(−1, −3), (−4, 7), (2, −13)

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Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

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Q: Determine whether the points are collinear. (-2, -4), (5, 24), (-2, –8) O collinear O not collinear

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Q: Find the equation of the plane through (3, -1, 2), (4, 0, 2), and (5, 3, 1).

A: Vector equation of a plane passing through three points with position vectors a→, b→, c→ is…

Q: Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)

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Q: Find a plane through the points (4,-3,-4), (-6,2,8), (3,-8,8)

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Q: (1, 3, 3), (3, -1, 5)

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Q: Plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane.

A: To plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane. Given…

Q: Find the equation of a plane through the points (– 8, 2, – 1), ( – 4, – 1, 8), ( – 8, 6, – 6). -

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Q: Show that the points A(3,-2,4)B(1,1,1,) and C(-1,4,-2) are collinear

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Q: Determine whether the points (-1,4), (-1,-1), and (-1,-7) are collinear.

A: NOTE: Refresh your page if you can't see any equations. .

Q: * Find the Cartesion Coordinates of the points. (),(万,). (-2,2)

A: To convert Polar coordinates r, θ to Cartesian coordinates x, y apply:x=rcosθ   y=rsinθ

Q: Find a plane through the points (2,-6,-1), (4,3,-4), (-3,-7,-8)

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Q: Find the points on the coordinate plane 2,3) and Q(2.-2.-1)

A: Given query is to find point P and Q on coordinate plane.

Q: Plot A(-2, 4), B(3, 4), C(0, 2), and D(0, –2) in a coordinate plane. Then determine whether AB and…

A: The plot for the given points is shown below Consider the distance formula is, d=x2-x12+y2-y12 The…

Q: ectors to decide whether the triangle with vertices P(1,-3,-2), Q(2,0,-4), R(6,-2,-5), and is…

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Q: Find a plane through the points (1,-4,1), (-8,-8,3), (2,-3,-5)

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: plot the ordered pairs(2,-3) and (3,5) on the Cartesian Plane. draw a line that passes through these…

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Q: ! Which point does not lie on the same plane as the points P(1,5,6), Q(-2, –3,4), and R(-1, 3, 2)? A…

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Q: ) Find the equation of the plane through the points: (2,4,5), (1,5,7), (–1,6,8).

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Q: The coordinates of parallelogram ABCD are A(4,6), B(-2,3), C(-2,-4) and D(4,-1). Which numbered…

A: Given, The coordinates of parallelogram ABCD are A(4,6), B(-2,3),C(-2,-4) and D(4,-1)

Q: Plot the points (5, 5), (−2, 0), (−3, 6), (−1, −7) in the Cartesian Plane.

A: A point x,y on the cartesian plane represents that the distance of the point from y-axis is x and…

Q: Determine whether the points are collinear.(−1, 0), (1, 1), (3, 3)

A: Now slope of the line joining the points A and B is, Now slope of the line joining the points B and…

Q: Determine whether the points are collinear. (Three points are collinear if they lie on the same…

A: We have to determine whether the given points are collinear or not: 0, 4, 7, -6, -5, 11 We know that…

Q: Which of the points A(-4,0,–1), B(3,1,–5), and C(2,4, 6) is closest to the yz-plan Which point lies…

A: Given: A(-4,0,-1)  B(3,1,-5)  and C(2,4,6) To find: Which is closet to the yz plane Which is lies on…

Q: Plot the points (4, 2), (-5, 4), (-4, -3) and (6, -4) in the Cartesian plane.

A: Coordinates (x,y) represent 'x' units from origin in left or right direction depending upon the sign…

Q: 2) Do the points (1,0, -1), (0,2,3), (-2,1,1), and (4,2,3) lie in the same plane?

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Q: determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) lie in the same plane.

A: We will have to check whether the points (1,3,3), (3,-1,5), (5,2,0), (3,3,4) lie on the same plane…

Q: Find a plane through the points (6,-2,-4), (1,-3,5), (2,6,-5)

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Q: Determine whether the points are collinear. (4, 12), (-4, -20), (-2, –16) O collinear O not…

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Q: Represent two planes that intersect at a line represented by 3 +2

A: There are so many pair of planes that represents the same line.

Q: Determine whether the points are collinear.(1, 2), (3, 4), (5, 6)

A: Given the points ( 1, 2 ), ( 3, 4 ), ( 5, 6 ). For the points to be collinear, area of the triangle…

Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…

Q: Determine whether the points P(1, −2, 3), Q(2, 1, 0), and R(4, 7, −6)                    are…

A: Given, The points P(1, −2, 3), Q(2, 1, 0), and R(4, 7, −6).

Q: Plot the points A(5, -2), B(-5, -2), C(5, 2), D(-5, 2), E(3, 0), and F(0, 3) on a coordinate plane.

A: To plot the points A(5,-2), B(-5,-2), C(5,2), D(-5,2), E(3,0), F(0,3)

Q: Describe a method for determining whether four points P , Q , R , and S , lie in the same plane

A: We know that if some points lie on the same plane, then their slope would be same.

Q: Find the distance from the point P(-1,3,-5) to the plane through the three points Q(3, 1, -3). R(4,…

A: The points passing through the plane are: Q3, 1, -3R4, 6, -5S5, -4, -6

Q: Determine whether the three points P = (8,-2,-6), Q = (11, 4, 3), R = (14, 12, 12) are collinear by…

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Q: Determine whether the points p(-1,5), Q(2,-4) and R(4,10) are collinear?

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Q: Find a plane through the points (-7,7,-3), (1,-7,-8), (-2,-1,3)

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Q: Find a plane through the points (-8,8,3), (-7,8,-2), (7,1,-5)

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Q: Find a plane through the points (4,3,3), (-4,-6,3), (1,-2,7)

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Q: Find a plane through the points (-1,5,-8), (-2,8,6), (1,8,-6)

A: The given points are: x1, y1, z1=-1, 5, -8 x2, y2, z2=-2, 8, 6 x3, y3, z3=1, 8, -6   Now the…

Q: Identify the coordinate plane that has the points correctly placed: @ (-2,1). 6 (-3,-1), © (4,-4), d…

A: We have to plot the given points in the XY coordinate plane . We check the output graph for the…

Q: Are the points A(2, – 3), B(5, 1), and C(-4, - 11) collinear?

A: Given:A2,-3 , B5,1 and C-4,-11 collinearAB=AC+BCd=x2-x12 + y2-y12

Q: Plot the given points in a coordinate plane.

A: Point A - (-5, 0) Point B - (2, 0) Point C - (2.6, -1.3) Point D - (-2.5, 3.5)

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.