Given 3 points A(-14,-8), B(-9,-5) and C(1, 1). Prove that A, B and C are collinear.

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: 3. a) If ā = (2,3,7) and b = (-4, y,-14), for what values of y are äand b perpendicular? For what…

A: Note to student : Hello. Thanks for posting your queries. Let us inform you that your question has 2…

Q: Given the coordinate of one endpoint of AB and its midpoint M, find the coordinates of the other…

A: If co-ordinates of A is (x1,y1)and co-ordinate of B is (x2,y2)then midpoint of AB isx1+x22,y1+y22

Q: Given (x,4) and (-3,y), find x and y such that the midpoint between these two points is (6,4).

A: To find the x and y such that mid point of (x,4) and (-3,y) is (6,4)

Q: Given that P (-4,6) and PQ = (°,), 8 find the coordinates of point Q. 2. а.

A:

Q: Determine if the points (-3,5), (-1,2) and (3,-4) No Yes are colinear. Show your work

A: yes .the given points are collinear. see 2nd step.

Q: Which of the following coordinates exists on the line y = 3x+ 1? А. (2, 6) В. (-1, -2) С. (3,4) D.…

A: Solution is B) (-1,-2)

Q: Given 3 non-collinear points, A, B, and C, describe how to find a point, O, that is equidistant from…

A: Let A,B and C be three non-collinear points, mark point A, B,C anywhere  Then Join AB and BC Draw…

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 point (xo, yo) on the line 4x + 9y = 12 that is closest to theong1n.

A: Given: 4x+9y=12 Let the distance between the point (x0, y0) and origin be D As it is given that the…

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

A:

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: Find the value of β for which w =〈−2, β〉 is parallel to v =〈4, −3〉.

A: Two vectors are parallel if the angle between them is 0 or π. That is, the vectors are pointing in…

Q: Suppose A(-9, -8) and B(-4, -6). What is the x coordinate of the midpoint for AB?

A:

Q: Prove that the point 2a +b-c, 5a -b+ 2c and 8a – 3b+5c are collinear.

A: Given, 3 vectors or points, A(2,1,-1) B(5,-1,2) C(8,-3,5)

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

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Q: The midpoint of AB is at (- 4, - 2). If A = (0, 10), find B. B is:(

A:

Q: If Point S' is located at (-1, 4) which axis was IS -5 -4 -3 -2 1-1 1 2 4 5 6 -2 5. 2. 1.

A: Given that  the point (-1,4)  is located in co ordinate axis

Q: Find the per meter rhombus with of p c-2,3),01,1) RC4-3),5Ci,-7)

A: Given,quadrilateral is not a rhombus In a rhombus all sides are equal Perimeter of any quadrilateral…

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…

A:

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: Are the following  points collinear    -8,12  3,5 and  25,-9

A:

Q: Express the following points in Cartesian coordinates: (а) Р(1, 60°, 2) (b) Q(2, 90°, –4) (c) R(,…

A: we have to convert cylindrical and spherical co-ordinate system to cartesian system. we know that…

Q: Consider à = (2,1,k), and b = (k,-8,k). Find the value of k such that å and bare perpendicular.

A: We can find the values of k as below.

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

A: P-4, 1 & Q3, -4

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

A:

Q: Plot A(8,-4), B(3, -4), C(7, 1), and D(7, – 3) in a coordinate plane. Then determine whether AB and…

A:

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

A:

Q: E. Show that the lines 3x - 5y + 19 =0 and 10x + 6y -50 =10 are perpendicular and find their point…

A:

Q: Find the value of y such that the points are collinear. (1, -2), (-5, y), (-2, –5) y = %D

A:

Q: Find k so that the points P(0, 1, 1), Q(-1, 1, 3), and R(-3, 1, k) are on the same line (collinear).

A:

Q: If rAB = i + 4j - 2k and B is the point (5, 1, 3), find A.

A: Let

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: А. в. с. D. DO

A: Given

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

A:

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) Oppositely directed to v = (3, -4) and half the length of v. %3D W3= (?, ?) (b) Length V5 and…

A: To Find : a) A vector which is oppositely directed to v=<3,-4> and half the length of vb) A…

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

A:

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

A:

Q: Give the location of Rome as an ordered pair (x, y).

A: Given plot is, We need to find the co-ordinates of x and y for Rome from the given plot.

Q: If the points P(-4,-1,1), P(2, c, 7), and P.(-1, 1, 4) are collinear, then the :value of c is

A: Given points are P1-4,-1,1, P22,c,7 and P3-1,1,4. To find value of c for which given points are…

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

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.