use set theoretic or vector notation or both to describe the points that lie in the given configurations.   The parallelepiped with edges the vectors a, b, and c emanating from the origin

Q: Use vectors to find the fourth vertex of a parallelogram, three of whose vertices are (0, 0), (1,…

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Q: Q1-)B-)Show that the following triangle whose vertices A(1, -1, 0), B(4, -3, 1) and C(2, -4,5) is a…

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Q: The axes of the rectangular coordinate system divide the plane into regions, called these regions.…

A: We know that the rectangular coordinate system has two axes. One of the axis is x-axis and another…

Q: vertices of parallelogram ABCD have coordinates A (1, 8), B (- マ)

A: Solution of the problem as follows

Q: Consider the points A(3, -3, 2), B(6, -5,0), C(-1, -4,0), and D(6,3,-4). (a) Find the volume of the…

A: Here we have  to use the concept of vector

Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6,3, –5). |(a) Find the volume of…

A: Let's find.

Q: Consider the triangle with vertices P(-1, -4, -3), Q(0, –1, –5), and R(4, –3, –-6). Determine the…

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Q: Let A=(1,2,3), B=(3,4,3), C=(1,4,4) and D=(2,2,5) vertices of a parallelepiped in space and suppose…

A: Given, ABCD are the vertices of a parallelepiped.  B, C, D are adjacent to A.  To find:  The…

Q: If a plane intersects two parallel planes, then the intersection is OA. a point OB. two…

A: When a plane intersects another plane we get a line.

Q: Points A and B in the Cartesian plane have coordinates (0,0) and (7,4) respectively.How many…

A: Manhattan distance between two points (x1,y1) and (x2,y2) is given by:

Q: Consider the triangle with vertices P(3, -4, 0), Q(4, -1, -2), and R(8, -3, -3). Determine the…

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Q: Consider the points A(3, -3, 3), B(4,-5,0), C(-3, -4, 0), and D(6, 2,-6). (a) Find the volume of the…

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Q: and the coordinate planes.

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Q: Decide whether each parallelogram JKLM is a rectangle, a rhombus, or a square. Give ALL names that…

A: Decide whether each parallelogram JKLM is a rectangle, a rhombus, or a square. Give ALL names that…

Q: he coordinates of S must be.(Type an ordered pair.)

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Q: 30. The vertices A, B,C of AABC have position vectors a, b, crespectively. The area of AABC is

A: According to the vector area of triangle we know that,

Q: A Draw and describe the locus of points in the plane that are equidistant from the sides of ZABC. C

A: Definition: The locus of points in a plane and equidistant from the sides of an angle is the angle…

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: In Cartesian space, the point (0,6,0) lies 6 units above the origin. Select one: True False

A: We have to find the point location

Q: Use vectors to decide whether the triangle with vertices P(3, -1, -4), Q(4, 2, -6), and R(8, 0, -7)…

A: Given : Vertices of a triangle P(3, -1, -4), Q(4, 2, -6), R(8, 0, -7)   To find : The given…

Q: consider the points A(3,-3, 3), B(4, -5,1), C(-2,-4,1), D (6,3,-5) (a) Find the volume of the…

A: We have to find the volume of parallelepiped.

Q: Three points with position vectors a, b, and c will be collinear (lie on a line) if the…

A: Given that:         Position vectors of points areA(2,2,3), B(6,1,5) and C(-2,4,3)

Q: A coordinate system represented a point in the plane by an ordered pair of numbers called…

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Q: 5. N(2,-2), P(1,-4). Q(7,-4), R(6,-2) along (4, 5

A: Vertices of image are - N(2,-2); P(1,-4); Q(7,-4); R(6,-2) Vector - (4,5)

Q: Three of the vertices of parallelogram ABCD are A(0, 0), B(2, 3) and D(6, 1). Find the coordinates…

A: We will use a simple property of parallelogram that their diagonals bisects each other. So for the…

Q: Points F, G, and H are collinear such that FG: FH ==. If a directed line segment begins at F(-5,-1)…

A: Given,  A directed line segment begins at F-5, -1 and ends at H4, -1.  FGFH= 13  We have to find the…

Q: . Three vertices of a parallelogram are shown on a coordinate plane below. (-4, –3) 6- 4+ (6, –1) A…

A: in question, three vertex of parallelogram is given we find out 4th vertext . we use the  properties…

Q: Find the coordinates of the vertices of the polygon after the given translation to a new position in…

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Q: 3 vertices of a parallelogram ABCD are shown in the applet. What are the coordinates of point D?

A: Here in the graph, A=(5,-2)  ,  B=(8,3)   and  c=(3,8) We have to find the coordinates of point D

Q: Let A (1, 2, -1), B (3, -1,4) and C (2,6,2) be three vertices of parallelogram ABCD a-Find the…

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Q: Jse vectors to find the fourth vertex of a parallelogram, three of whose vertices are (0,0), 1,3),…

A: The diagonals of the parallelogram bisects each other. The vector for the points A(x1,y1) and…

Q: EXERCISE 4.1 Given the three points P₁ = (10,−5, 4), P₂ = (8,−4, 3.2), and P3 = (8, 4, 3.2), derive…

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Q: 1. The vertices of quadrilateral MATH have coordinates M(-4,2), A(-1,-3), T(9,3), and H(6,8). Prove…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: The vertices of parallelogram ABCD are A(-1,6), B(5,6), C(3, -2) and D(-3,-2). The diagonals of…

A: We will find the coordinates of P as following.

Q: Let A be the triangle with corners at (4,-2), (-4,-2), and (-4,3) List the corner points of triangle…

A: To find the corner points of the new triangle A formed.

Q: Show if they Do these points make a parallal ogram. do or not using W/-1,!,2) vectors X (S,0,-2) Y…

A: Given vectors are W-1,1,2, X5,0,-2, Y9,-3,0, Z3,-2,4. Now,…

Q: Consider the parallelogram with vertices at (0,0), (2,0), (3,2), and (1,2). Find the angles at which…

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Q: Set C 1. Use vectors to find the (shortest) distance between the point (-2, 1, 4) and the line…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Consider the points A(3,-1, 3), B(4, -3,0), C(-2, -2,0), and D(6, 3,-5). (a) Find the volume of the…

A: Let's solve for volume and distance between point and plane.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, -3,…

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Q: Let ​A(66​,33​), ​B(99​,44​), and ​C(55​,66​) be three points in a coordinate plane. Find the…

A: Let D=(x,y). a) IF AB is a diagonal, then CD is another diagonal. We know that diagonals of a…

Q: Use coordinate geometry to prove the statem If the midpoints of a trapezoid are joined to form a…

A: consider the following trapeziod midpoints of the sides,…

Q: Let A(2,3, 1). B(3,1,0) and C(3,4,1) be three points in the space. Find the area of the triangle…

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Q: The three vertices of at riangle are located at A(6,-1,2), B(-2,3,-4), and C(-3,1,5). Find: (a) RAB…

A: step:-1 Given vertices of a triangle are A (6, -1, 2), B(-2, 3, -4), C(-3, 1, 5) Part (a):- RA=6…

Q: Consider the points A(2, –3, 3), B(3, –5,0), C(-3, -4,0), and D(3,3, –6). (a) Find the volume of the…

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Q: Show that A(-4, – 1), B(0, –2), C(6, 1), and D(2, 2) are vertices of a parallelogram.

A: Given  A(-4,-1), B(0,-2), C(6,1) and D(2,2) To show: ABCD are vertices of a parallelogram.

Q: a. Show by means of slope that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a…

A: This is a problem related to geometry. For parallelogram opposite sides are parallel to each other.…

Q: Find the area of the parallelogram with the vertices A(3; 2), B(5; 4), C(4; 1). (Advice: Consider…

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Q: Consider the points A(3,-3, 3), B(4,-5,0), C(-3,-4, 0), and D(6, 2,-6). (a) Find the volume of the…

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Q: Consider the points A(3, -3, 2), B(6, -5,0), C(-1, –4, 0), and D(6, 3,-4). (a) Find the volume of…

A: This is a problem related to vector. Please follow the procedure given below. As per bartleby…

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.