In a vertical coordinate system, display the following points. A (1,2,0). B (1,2,3). C (0,2,3) . D (-1,2,3) E (1, -2,3) . F (1,0,3)

Q: he equation of the line passing through the point (1 (1, 1, 1) +t(0, 1,2) B. (1,1,1) +t(0,2, 2)…

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Q: Find the coordinates of the point that is equidistant from ( — 2, 5), (8, 5),and (6, 7).

A: Given: The points A=(x1, y1)=(-2,5), B=(x2, y2)=(8,5), C=(x3, y3)=(6,7)   To find: The point P=(x,y)…

Q: The distance of the point (1, 2,1) from the line 2/3 3 20 В. 3 23 C. 5 5 D. is A.

A: To determine which of the following is not trueA. p∧~q↔p→q is a tautologyB.{(p→q)∧q→r}→p→r is a…

Q: Which of the following coordinates represent the same point:(3, π/2), (3, 3π/2), (3, 5π/2), (-3,…

A: Given the coordinates and we have to select the coordinates which represents the same points.

Q: Consider the coordinate grid below. What is the range of the set of points? y 4 2 -4.-2. 2. 4. • -2…

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Q: Find a point equidistant from the points (3,2) and 5,-1)

A: Let the coordinates of the required point be x and y.

Q: Find an equation of the line that passes through the given points. (Let x be the independent…

A: Given:The line passes through the points (2,2) and (3,7).The equation of the line is of the form,

Q: Determine whether the point P = ( -4, -2, 1 ), the point Q = ( 2, 5, -4 ) and the point R = ( -3,…

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Q: Find the coordinates of point X which is: 3 a 5 units from (1, –5) in the direction 4 -3 b 6 units…

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Q: Find the distance between each pair of points: a) (-3, - 7) and (2, 5) b) (0, 0) and (- 2, 6) c)…

A: We have to find the distance between each pair of points: a) -3, -7 and 2, 5 b) 0, 0 and -2, 6 c)…

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: Plot the given points in a coordinate plane.

A: We have to plot the points in the coordinate plane, the points are of the form x1,y1=0,5 ,…

Q: 1. a) m and passes through the point (-3, 10) b) passes through points A(12, -1) and B(0, 4) c)…

A: We know the slope intercept form of line is : y=mx+b , where m is slope and b is constant. (a) Given…

Q: Find the intersection point of the two lines: [x, y] = [1, 2] + t[2, -1] and [x, y] = [0, 3] + t[3,…

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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: Match each line with a perpendicular line. A. y = 5x +2 1. the line through (2, 12) and (17, 9) В.…

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Q: . Plot each pair of points and compute the distance between them:(a) (1, 4) and (3, 2) (b) (2, 1)…

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

Q: QUESTION #4

A: Consider the given equation of the lines.

Q: If a coordinate system is superimposed on the softball diamond in the figure below with the positive…

A: The distance from the home base to first base is 60 feet, and first base to second base is 60 feet.…

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: In the coordinate plane, the point A(-4, 0) is translated to the point A'(1, 5). Under the same…

A: according to question, In the coordinate plane A(-4,0) is translated to the point A'(1,5). under the…

Q: Find the value of a  the line through (-2,3) and (8,5) is perpendicular to y=ax+2

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Q: Find the distance from the point A to the line through the points B and C where A, B, d C have the…

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Q: Find the distance from the point to the line.   (−4,4,−1)​; x=-3+3t, y=-1+t, z=1+2t   The distance…

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Q: Determine Duf(-1,3, 2) for f (x, y, z) = e2ay° + 4x²yz in the direction (3, -2, 5). V =

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Q: Determine if the line intersects the plane. If so, state the solution. [x, y, z][-1, -9,16]++[3, 3,…

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Q: How would i determine whether the three points are collinear?   (0,-7), (-3,-21), (2,3)

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Q: Find a best straight line y = cx+d that best fits three points (1, 1), (–-1,2), (-2, 1). %3D

A: We have the equation of given straight line as y=cx+d            ⋯⋯1 If the points 1,1,-1,2 and -2,1…

Q: Find the distance between each pair of points: c) (0, 2) and (0, - 3) d) (-2, 0) and (7, 0) a) (5, -…

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

Q: Find a perpendicular line that passes through the given point (6, 4); y = 3x- 2 %3D O y= 1/3 x-6 O y…

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Q: Which of the following lines is perpendicular to the line   y  =  12x + 1   and contains the point…

A: Given line is y=12x+1 And the point is (2, -2)   By comparing the equation of line y=12x+1 with…

Q: Find an equation of the line that passes through the point (1, −3) and is perpendicular to the line…

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Q: Write the coordinates of the vertices after a reflection over the line y x. 10 8 6 41 21 -10 -8 -6…

A: topic - reflection  x and y coordinates of a point are interchanged after getting reflected through…

Q: B. Find the distance between the two points. 1. (2,-1), (2, 3) 2. (-5,-2), (0, -2) 3. (0, 6), (4, 9)…

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Q: Find an equation of the line that passes through the points. (Let x be the independent variable and…

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Q: The line L with symmetric equations I+3 y-3 2-2 3 3 2 P(3,-3,-2). = passes through the point

A: Given line , x+33=y-33=z-22=k                                                     (1) If given line…

Q: Find the equation of the line using the given information. (x, y) = (−4, 0)  and  (x, y) = (−4, 8)…

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Q: Find a perpendicular line that passes through the given point (6,4); y 3x- 2 %3D O y = 1/3 x-6 O y =…

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Q: Which point(s) lie on the line (x, y, z) = (2, 1, – 3) + r(3, 2,–4)? a) (2, 1,- 3) b) (8, 5,- 11)

A: The vector (x,y,z)=(2,1,-3)+r(3,2,-4)

Q: А) 9/7 B 3/7 3.

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Q: Plot the points (– 5, – 1), (– 1, – 3), (4, – 4), (0, – 5) onto the coordinate plane below. 4 -6 -5…

A: The value of x is positive in the first and the fourth quadrant and negative in the remaining…

Q: Explain why the lines below intersect. l1: (x, y, z) = (2, 3, 4) + n(1, 2, – 3) and l2: (x, y, z) =…

A: Given : Vector equation of the line l1 : x, y, z=2, 3, 4+n1, 2, -3 Vector equation of the line l2 :…

Q: Find the distance between each pair of points. (a) (-4, 0) and (0, 3) (b) (-2, 6) and (4, -2) (c)…

A: Distance between points is x2-x12+y2-y12.

Q: Find the z-coordinate of the foot of the perpendicular from A(1, 1, 1) on the line joining B(1, 4,…

A: We will solve the problem.

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: 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)

Q: Determine whether or not the line through the points A(0, –4, 2) and B(5, –1, 0) is perpendicular to…

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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.