Express PQ in the form ai + bj.

Q: A point on the a-axis that is equidistant from the points (9, – 6) |(- 8, 6) is and

A: the given points are .................first point .................second point now the third point…

Q: If AB = -7i + 3j + 8k and A is the point (-2, -3, 6), find B.

A: A vector from one point to another can be obtained by subtracting the initial point from the final…

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,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

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

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Q: 3. Assuming A(3,-1,-4) and B(7,2,4), find the coordinates of point C such that we have: 4AB -3BČ

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Q: Define the points P(-4, 1), Q(3, -4), and R(2, 6).

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Q: Find an equation of the set of all points equidistant from the points A(-1, 5, 4) and B(6, 2, –1).

A: Given : A(-1,5,4) and B(6,2,-1) Let P(x,y,x) be at equidistance from A  and B Now find the distance…

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: Find the midpoint of the following two points (4,8) and (3,7)

A: The two coordinate points  (4,8) and (3,7) We need to find the midpoint of the given two points.

Q: Q1: if AB = i + 4j – 2k and B is the point (5,1,3), find point A.

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you…

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: Determine y and z in terms of x give reason

A: Angle x = Angle y  And  Angle z = 180° - 2x

Q: What is the value of a if the point (a, – 1) is on the line 3x – 2y = 8? a =

A: We have to find the value of a.

Q: Give three other ordered-pairs of the form (r, e) that name the same point as (3, 60°)

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Q: find the point p such that v=pq has the components (5,-7,-4)

A: find the point p such that v=pq has the components (5,-7,-4)

Q: Find the point P such that v PQ has the components (-6.75,-6.5,-9.5). Q=(-2.75, 2.5,-3.5)

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Q: Find the point P such that v = PQ has the components (-7.75, –8.25, – 16). О 3D (-2.75, -2.25, -6) P…

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Q: prove that points are collinear 3. P(-15,10), Q(0,-20), R(-10,0)

A: Given ; The points are P(-15,10), Q(0,-20), R(-10,0) .

Q: Determine whether the points are collinear. If so, find the line y = c0 + c1x that fits the…

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Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: Find point P(x,y) if it is equidistant between points A(2,9) and B(-3,6)

A: Given:-  Px,y is equidistant  from the points  A2,9  and  B -3,6 i.e,  AP=BP and  we know  that…

Q: Find the distance between the points p1 and P2. P1 =(4, -3); P2 =(6, 4)

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Q: Q1: if AB = i+ 4j – 2k and B is the point (5,1,3), find point A.

A: AB vector is given. AB = i +4j -2k   Creat vector AB by taking variable point A and given point B…

Q: Given the point P (-V- V12)

A: Given point on the unit circle is  P(x, y) = P -17, -1742x =-17 = - 17y = - 1742 = -17 ×7 ×6 = -67

Q: The value of p, so that the lines 17-14 = 3 2p 22 and 2-5 72 3p 1 = intersect at right angle, is…

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Q: (r, 0) -4, – 3+ a (r < 0)

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Q: Find the distance and midpoint between points P(6, -3) and Q (-2, -5)

A: Given points are P(6,-3) ,Q(-2,-5)From middle point formula ,middle point between(x1,y1) and (x2y2)…

Q: Determine B such that the line 3x + 2y - 7 = 0 is perpendicular to 2х - Ву+23D0. | O 5 Оз O 2

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Q: Enter the ordered pair for point A in the boxes. A 1. -2 1 2 -2-

A: See from the graph that, point A is located at 1.5 units left from the y axis. Thus, x coordinate of…

Q: Find the point on the line 6x + y = 8 that is closest to the point (-5, 3). 19 145 (х, у) %3D 37' 37

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Q: Find the point P such that v = PQ has the components (4, 3, -10.5). Q = (5,9, -8.5) P =

A: To solve the following vector

Q: Find the point on the xx-axis that is equidistant from the points (6,1)(6,1) and (3,7)

A: Let the given points be A(6,1) and B(3,7). Let P(x, 0) be the point on the x-axis which is…

Q: If rAB = -7i + 3j + 8k and A is the point (-2, -3, 6), find B.

A: Given that AB=-7i+3j+8k   and  A=-2, -3, 6. Consider them as AB=-7i+3j+8k   and  A=-2i-3j+6k.…

Q: Find the value of m if the points (5, 1), (-2, -3) and (8, 2m) are collinear

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Q: Find the equation of the set of all points that are equidistant from the points P = (1,0, -2) andQ =…

A: Given: P=1,0,-2 and  Q=5,2,4

Q: Determine whether the points are collinear. If so, find the line y = c0 + c1x that fits the…

A: The coordinate points are  (−2, 0), (0, 2), (2, 2) We need to determine whether the points are…

Q: Find a point on x-axis which is equidistance from A (2,-5) and B(- 2,9).

A: Topic:- geometry

Q: Which of the points A(4,4) or B(5,3) is closer to the point C(-1,-3)?

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Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.

Q: Which of the following points does NOT lie on the line x + 3y = 10? %3D O (-4, 14/3) O (-2, 4) O (2,…

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Q: Find the values of y if x=5 and some se of points are (1,4) and (6,9)

A: The value of table for x and y x 1 6 y 4 9

Q: If A = ( - 1, 2) and B = (3, 4), find AB and redraw it (a) in standard position and(b) with its tail…

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Q: Find b so that the points (4,-6), (5,-8), and (b,-2) lie on the line

A: Please find the solution in the attached images :

Q: A В Use the method above to find the distance from the point P(-3, 1,5) to the line through A(1,…

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Q: Determine all points P(x,y) such that PA = PB. A = (2,3) and B is on the line y=-3

A: solution:- A(2,3) B(0,-3)

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

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Q: Find all points on the y-axis that are 5 units from the point (4, 4).

A: Distance between two points (x1,y1) and (x2,y2) on the graph is given by the distance formula, that…

Q: . Let P(2, –3, 6) and P2(2,2, -4). Find the coordinates of the point P on the line segment with PP =…

A: Given Data: The coordinates of point P1 is: P1x1, y1, z1=P12 -3, 6 The coordinates of point P2 is:…

Q: Find the distance between the points P1 = (4, - 7) and P2 = ( - 1, 5).

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Q: Find two values of k such that the points (-3, 4), (0, k), and (k, 10) arecollinear.

A: To Find: Two values of k such that the points -3,4, 0,k and k,10 are collinear. Concept: Slope…

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.