103. Proof Prove that the diagonals of the parallelogram in the figure intersect at their midpoints. (b, с) (а+b, с) |(0, 0) (а, 0)

Q: 1. Find the purametric euuatlous of the line that contains the point C,-3,5) and is Perpendicular to…

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Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

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Q: 3. The coordinates of parallelogram PVWZ are P(0, 0), V(-p, q). and W(-p-r, q). Find the coordinates…

A: Since multiple questions are asked, I am answering the first question

Q: Using vectorsProve that the diagonals of a parallelogram bisect each other

A: Using vectors we need to prove that the diagonals of a parallelogram bisect each other.

Q: quation of a Perpendicular Bisector

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i+j and i – 2j as…

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Q: Quadrilateral ABCD with vertices A(0, 6), B(-3, -6), C(-9, -6), and D(-12, -3): a) dilation with…

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Q: Use a projection to derive a formula for the distance from a point (x,y) to the line ax+by=c, where…

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Q: The distance between the parallel planes ax + by + cz + dq = 0 and ax + by + cz + dz = 0 D = a² + b2…

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Q: 22.foci F(-9,0), F(9,0) and vertices V,(-13,0),V,(13,0)

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Q: (A) Find the angles between the planes 2 x + 2 y+ 2z = 3 and 2x- 2 y-z = 5 (8) Find the distance…

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Q: 15) Parallelogram .4BCD has coordinates A(1,5), B(6,3), C(3,–1), and D(-2,1). What are the…

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Q: True or False: All squares are parallelogra ms.

A: Given: All squares are parallelograms. Properties of parallelogram: (1) Opposite sides are parallel.…

Q: Horizontal plane Q and vertical plane N intersect.

A: Explanation: Here we will draw the two planes Q is horizontal plane & N is vertical plane.

Q: 3 > Find a plane containing the point (-2,7,-7) and the line 7 (t) = +t < 3, 8, Check Answer

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Q: Parallelogram JKLM has vertices J (0,0), K(2,2), L(x,y), and M (5,0). Find (x,y).

A: Given vertices of parallelogram are J(0,0),K(2,2),L(x,y),M(5,,0)

Q: Using vectors, prove that if the diagonals of a rectangle are perpendicular, then the rectangle is a…

A: To Prove- Using vectors, prove that if the diagonals of a rectangle are perpendicular, then the…

Q: Suppose you start at the origin, move along the x-axis a distance of 7 units in the positive…

A: To determine: The coordinates of the position when starts at the origin and move along the x-axis a…

Q: Determine whether u and v are orthogonal, parallel, or neither. Explain your reasoning. u = (4,7), v…

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Q: 24. Let A = (2,1) and B = (-1, –2) be two points on the plane. Write the equation of the line which…

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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: 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: The distance d of a point P to the line through points A and B is the length of the component of AP…

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Q: 9. A rhombus is drawn in the standard xy-coordinate plane. The line 2x+y= 4 includes one of the…

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Q: QI/ Determine whether the two planes are parallel or intersecting. Find their line of intersection…

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Q: B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a…

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Q: ation of the plane.

A: Topic:-: geometry

Q: The plane The plane that passes (0, 1, 5), (2. -1, 6), and (3, 2, 5). through points

A: Given:  Points: ( 0 , 1 , 5 ) , ( 2 , -1 , 6 ) , ( 3 , 2 , 5 )

Q: The line through the point (0, 14, – 10) and parallel to the line x= -1 + 21, y = 6 – 31, z = 3 + 9t…

A: If the line is parallel to the line x = -1 + 2t; y=6 -3t and z=3 + 9t, then the line is parallel to…

Q: Calculate the distance between the points L= (0, - 5) and G=(7, - 2) in the coordinate plane. Give…

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Q: ans ) Find the lengthaf the Projection of the line jeining (-1,2,) ane -19 2) on the Plane…

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Q: The directed line segment from the point A to the point B in the Cartesian plane is the vector 1/2

A: We have to check given statement is true or false.

Q: Eindequatisf ihe line passer thronghthe Paint (-3,2,-)-and parallelte the lineof intersaction of the…

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Q: Q1-)A-) Find the distance from the point (0,1,1) to the line of intersection of the planes : x + 2y…

A: Given: A) Point (0, 1, 1) and the planes x + 2y + z = 1, x - y + 2z = -8. B) Vertices of triangle…

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: n Exercises 39–41, find the distance from the point to the plane. 39. (2, -3, 4), x + 2y + 2z = 13…

A: Given, (2, -3, 4), x + 2y + 2z = 13.

Q: Find the equation for the plane through the points Po(-2, - 3, – 2), Q,(4,0, – 4), and Ro(3, – 3, –…

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Q: Prove using vectors that the points represent the vertices of a triangle then (1) Find the area of…

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Q: three vertices of parallelogram MNPQ are M(-1,1), N (2,3), and P(4,1). plot points M, N , P , Q in…

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Q: 3. What is the distance from the line to the plane? 7-(2,3,8)+(1.1.1) 2x - 5y + 32 + 10

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Q: Find the cross product a x b where a (-2, 2, 0) and b = (-4, 1, –1). %3D ахь- Find the cross product…

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Q: Use a graphing utility to sketch the intersecting graphs of the equations and determine whether or…

A: topic- equations and their slopes

Q: Linear Algebra Let α be the plane that passes through the origin and is perpendicular to the line…

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Q: 3. Give a geometric description of Span{V₁, V2, V3}. 8 (a) V₁ = 2 V₂ = 3 V3 8 (b) V₁ = 2 3 (c) V₁ =…

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Q: O True False 1. The point (0, 0) is called the origin, and is the point where the x-axis and y-axis…

A: since you have asked multiple questions in single request so we will be answering only first…

Q: QC:Determine whether the lines L1 and L2 passing through the pairs of points are parallel,…

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Q: TLER stic Find the equation of the plane through the origin and the points (3,–2,1) and 1,1,1).

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Q: Calculate the distance between the points J=(-2, 0) and P=(6, 6) in the coordinate plane. Give an…

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