Determine whether the points are coplanar.(−3, −2, −1), (2, −1, −2), (−3, −1, −2), (3, 2, 1)

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: Given: The given equations are drawn below,

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: Write v as a linear combination of u and w, if possible, where u = (2, 3) and w = (2, -1). (Enter…

A:

Q: y = x x², x = 0, x = 2, y = 0, about the ï — axis is 27 units³

A: We have to solve given problems:

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: We have to find the geometric description of the set of points in space whose coordinates satisfy…

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: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A:

Q: Given (x, 5) and (-9, y), find x and y such that the midpoint between these two points is (4, 3).

A:

Q: The distance, d, between the points (X1, y1) and (x2, y2) in the rectangular coordinate system is d…

A: To find: The distance, d, between the two points (x1, y1) and (x2, y2) in the rectangular cordinate…

Q: Find a parametric representation of the solution set of the linear equation.3x1 + 2x2 − 4x3 = 0

A:

Q: Find the set of values of 'a' if the points (1, 2) and (3, 4) lie to the same side Tight linc 3x -5y…

A: Given, Point 1, 2  and 3, 4  lie on the same side of straight line  3x-5y+a = 0  We have to find the…

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: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: Consider the given equation is, y=x2z=0 From the given equations, the geometric description is that…

Q: The midpoint of AB given A (3,-12) and B(-1, -2) is (z, y). What are the values of z and y? O (1,5)…

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Q: Find the coordinates of the midpoint of HX 3 H 5- 2. 2- The coordinates of the midpoint of HX are…

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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: determine whether the given points are coplanar. A(0, 0, 4), B(6, 2, 0), C(2, -1, 1), D(-3, -4, 3)

A: Consider the given points as follows.…

Q: Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear.

A: If there points A,B,C are co linear then we can have  |AB|+|AC|=|BC| . (A,B,C may have interchanged…

Q: 7. How many points of intersection exist between y= x' +4x2- 2x - 5 and y = 3? %3D None B. One Two…

A: To find the number of intersection of the given curves  y = x3 + 4x2 - 2x -5  and y = 3

Q: Find a parametric representation of the solution set of the linear equation.12x1 + 24x2 − 36x3 = 12

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Q: determine whether the given points are coplanar. A(0, 1, 2), B(-1, 1, 0), C(2, 0, -1), D(1, -1, 1)

A: Given, A(0, 1, 2), B(-1, 1, 0), C(2, 0, -1), D(1, -1, 1)

Q: a) Find the equation of line of intersection of the following planes 3x – 4y + 4z - 29 = 0 , 6x – 8y…

A: As per guidelines we are allowed to solve one question at a time. Kindly repost the rest question…

Q: Q6) If the point A, B, C are .collinear then AB.BC = 0 F

A:

Q: RS has endpoints R(-6,7) and ŠC0,-5). What are the coordinates of its midpoint?

A: Midpoint formula: if two points (x1,y1) and (x2,y2) then midpoint =x1+x22,y1+y22

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: 9x+8y≤72 x+3y≤9 x≥0 y≥0 the coordinates of the corner points are:

A: We make a table for : 9x+8y=72 x 0 8 y 9 0   We make a table for x+3y=9 x 0 9 y 3 0…

Q: 4. Find the two points of intersection of the circles: x² + y 2 + 5x + y – 26 = 0 ; x² + y ² + 2 x –…

A: Given, The equations of the circles are, x2+y2+5x+y-26=0   ....... (1)  and x2+y2+2x-y-15=0…

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: 2. Which point is the intersection of x + 2y = 8 and 2x + 3y = 10? a. (-2, 5) %3D b. (-4, 6) с. (2,…

A: The given equations are x+2y=8          …12x+3y=10      …2

Q: If the points A (x,2) , B (-3,4) and C ( 7,-5) are collinear then find the value of x

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Q: What is the coordinate of the midpoint of GO ? GHIJ KLM N o 4 -3 -2 -1 ó i 2 3 4 midpoint of GO =

A: Mid point = (a+b)/2

Q: 4. Square JKLM with vertices(1,-3), K(5, 0). L(8, -4), and M(4,-7): 90° counterclockwise 『 Cニ J'L…

A: Given Data : Coordinates of the square JKLM                       J : ( 1, -3)…

Q: find the distance between points P1 and P2. P1(0, 0, 0), P2(2, -2, -2)

A: Distance between two points (x1, y1, z1) and (x2, y2, z2) is given by :

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: d the condition for the point (a,0),(h,k),(0,b) when ab is not equal to 0 to be collinear

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Q: 6. What are the values of the variables in the parallelogram below? Show all algebraic work. 5y-1 3y…

A: Given, A parallelogram in which two parallel sides are of the length 3y+6  and 2x And the diagonal…

Q: Are these points collinear? а) А(-2, 5), В(0, 2), and C(4, — 4) b) D(-1, — 1), Е(2, — 2), and F(5,…

A: (a)       A-2,5, B0,2, C4,-4      AB=-2-02+5-32      =4+4      =22BC=0-42+2--42      =16+36…

Q: Q Give a pictorial view for the points to show its position in space A2,4) B4,0) C3,4)

A: Space: It is a three-dimensional coordinate system but the coordinate plane is a two-dimensional…

Q: The distance, d, between the points (x1, y1) and (x2, y2) in the rectangular coordinate system is d…

A: Two points are given as, x1,y1  and  x2,y2 .   Now Using the section formula to obtain the distance…

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: Establish the attraction properties of the solutions (0, 0) of i = r³ + y ý = (x² + y² – 2)y

A: The attraction properties of the solution (0,0) of x=x3+yy=(x2+y2-2)y Therefore, x.y.=f1(x,y)f2(x,y)…

Q: find the distance between points P1 and P2. P1(1, 1, 1), P2(3, 3, 0)

A: It is given that two points are  P11, 1,1 and P23, 3, 0    Distance formula between two point P1x1,…

Q: 8. What are the coordinates of point H? F (5,0,0) -JJ (5,-3,0) H. k (5,-3,2)

A: Solved below

Q: (b) Find the area of the triangle whose vertices are A(0,0,0) ; B(1,1,1) and C(0,2,3). 1 (C) Find…

A: Given (b) The vertices are A0,0,0, B1,1,1, C0,2,3 c(1) y=1x2-1 c(2) y=9-x2

Q: 9. Using analytic geometry, find the coordinates of the point on the x axis which is equidistant…

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Q: (b) Find the area of the triangle whose vertices are A(0,0,0) ; B(1,1,1) and C(0,2,3). 1 (C) Find…

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Q: Write v as a linear combination of u and w, if possible, where u = (2, 2) and w = (2, -1). (Enter…

A:

Q: Find the value of x if A, B, and C are collinear points and B is between A and C АВ 3 5х - 1, ВС -…

A: Topic- basic maths

Q: Find the missing coordinate "H" such that quadrilateral EFGH is a rectangle. E(-1,-2) ;F(-3,1) ;G…

A: Solve as general

Q: Determine whether the three points are collinear. (0,-4), (-3,-6), (2,-2) Are the three points…

A: See this solution in below with details

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.