The area of a parallelogram determined by the points A(6,1,3), B( 1,0,4),C (4,2,6), D(9,3,5)

Q: Compute the area of a triangle with vertices A(7,3,4), B(1,0,6) and C(4,5,-2).

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Q: Find the area of the triangle whose vertices are  (2,3,1), (1,-1,2) (-1,2,3)

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Q: A quadrilateral has coordinates R(-5,2),S(-1,3), T(-2,–1) and U(-6,– 2). Verify algebraically, that…

A: Let X be mid point of R(-5,2) and S(-1,3) ∴Coordinate of X is -5-12,2+32…

Q: Find the distance between the points A = (2, 0, (2, 0, 1) and B = (4, 5,-2)-

A: Given that two points   A =2, 0, -1     and   B = 4, 5, -2      If two points were given, then…

Q: Triangle MNO, with vertices M(2,-6), N(7,-8), and 0(4,-3), is drawn on the coordinate grid below. 2…

A: Given triangle with verticesM(2,-6),N(7,-8) and O(4,-3)(x1,y1)=(2,-6)(x2,y2)=(7,-8)(x3,y3)=(4,-3)

Q: A(2 2,4), B(3/2/4,4),(2it12)

A: A=12,2,4B=32,1,4C=12,1,2

Q: Find the perimeter of the parallelogram with these vertices. (5, 6), (-2, 1), (5, 1), (–2, –4) Give…

A: Perimeter of parallelogram is sum of length of each sides.

Q: What is the distance between points (5, 2) and (1, -3) on a coordinate plane? 4.1 © 8.5 6.4

A: We can use distance formula to find distance between two points (x1,y1) and (x2,y2).

Q: (b) Find the area of a triangle with the points A(1,0, 0), B(0,1,0), C(0,0, 1) as it vertices by…

A: (b) We have to find area of triangle with the points A1,0,0 , B0,1,0 and C0,0,1 by using cross…

Q: Find the area of the parallelogram with vertices (1,2), (4, 5), (7, 10), and (10, 13)- Answer:

A: I have shown magnified diagram

Q: Find the distance d between the points (5, – 7, 2) and (2, 5, 6).

A: Distance between two points x1,y1,z1 and x2, y2, z2 is d=(x2-x1)2+(y2-y1)2+(z2-z1)2

Q: Find the area of the parallelogram determined by the points P(7, -5, 5), Q(6, 7, 10), R(-8,-8,8) and…

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Q: What is the area of the triangle whose vertices are A(-1,2), B(3,-2),C(4,5)?

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Q: Find the distance between the points P(, 6,7) and Q(, 1,, 5)

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Q: Find the area of the triangle determined by the points P(-3, 6, -4), Q(8, 8, -5), and R(-1, -1, -7).

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Q: Calculate the volume of a parallelepiped if four of its eight vertices a A (1, 2, 4), B (2, 0, 5), C…

A: In this question we will use basic of calculus i.e concept of vector calculus. We will simply use…

Q: Find the areas of the parallelograms whose vertices are given in Exercises 35–40. 35. A(1, 0), B(0,…

A: Area of parallelogram ABCD is |AB x AD|

Q: Find the area of the parallelogram formed by the points (-1, 2, 3), (10, 10, 0), (4, 5, 2), (5, 7,…

A: We have to find the area of the parallelogram formed by the points (-1, 2, 3), (10, 10, 0), (4, 5,…

Q: Find the area of the triangle determined by the points A(-1,4, 7), B(3, –1,2) and С(4,4, 4).

A: It is given that, A(-1,4,7) , B(3,-1,2) , C(4,4,4) We have to find the area of triangle determined…

Q: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: find the distance between points P1 and P2. P1(3, 4, 5), P2(2, 3, 4)

A: Given :          p13,4,5 , p22,3,4

Q: Find the area of the parallelogram. P1 (1, 2, 0), P2 (-3, 3, 4), P3 (0, -3, 3)

A: Given points are, P11,2,0P2-3,3,4P30,-3,3

Q: Find the distance d between the points (2, 3,−1) and (4,−1, 3).

A: Given : 2,3,-1 and 4,-1,3

Q: Find the area of the parallelogram with vertices (2,2), (4, 7), (5, 12), and (7, 17)

A: Given, The vertices of parallelogram (2,2), (4, 7), (5, 12), and (7, 17).  We have to find the area…

Q: Find the area of the triangle with vertices P(1, 5, -2), Q(1, -1, 0), R(3, 5, 1)

A: If  A x1,y1,z1, Bx2,y2,z2,Cx3,y3,z3  are the vertices  of atriangle  ABC  then     the  Area  of…

Q: What are the coordinates of the midpoint of segment GH with endpoints G(-2, 5) and H(4, 1)?  a (-6,…

A: midpoint of segment GH with endpoints G(-2, 5) and H(4, 1)

Q: Find the area of parallelogram ABCD with vertice A(7,5,2), B(-1,2,9), C(6, –3, -4) and D(5,7,3).…

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Q: Find the area of the triangle with vertices (0,0,0), (4,-4,1), and (4,-3,0)

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Q: Determine the area of the parallelogram determined by the points (1,4),(-1,5),(3,9)and( 5,8).How can…

A: Consider the provided question, Let the vertices of the parallelogram are A, B, C and D.

Q: |The vertices of a parallelepiped are, in no particular order, (4, – 10, –21), (-4, –16, –14), (2,4,…

A: We have to find the volume of the parallelepiped with vertices 1.…

Q: The area of the triangle formed by the vertices (2, −1, −1); (1, 1, −2) and (−3, 2, −2) is:

A: NOTE: Refresh your page if you can't see any equations. . . .

Q: What Is the area of the parallelogram? |(3, 8), (6, 5) (3. - 3)* (6, - 6)

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Q: Find the area of the parallelogram with adjacent sides u = (4, 3, 0) and v = (0, 3, 1).

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Q: Find the area of the quadrangle with vertices (6, 1), (-5, 5), (–3, –5), and (5, –4). Area = 1,0 -7…

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Q: Find the area of the triangle with vertices (0,4), (-8,0) and (-1,-4)

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Q: Find the area of the triangle with vertices (2, 1, 5), (–1, 3, 4), and (3, 0, 6).

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Q: Find the area of the triangle having vertices at (-2, 3, 1). (1, 2, 3), and (3,-1, 2).

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Q: Determine the area of the parallelogram with vertices (7,-4, -7), (10, −5, -4), (13, -3, 2), and…

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Q: Find the area of a parallelogram with corner points at (2,4), (5,9), (9,9), and (6,4) Area

A: Area of a parallelogram of base b units and height h units is given by the equation; Area (A)=a·h

Q: Find the area of the triangle with vertices (1,0,0), (0, 2,0), and (0,0, 1).

A: Area of triangle when three points are given is half the modulus of the cross product of the two…

Q: Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, 0, 0),…

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Q: What is the area of a parallelogram if the coordinates of its vertices are (2, 1), (8, 1), (11, 5),…

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: A rectangle has vertices at the points (0,0), (6,0), (6,4), and (0,4) on a coordinate plane as…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, when the figure rotated…

Q: %# 2 Find the coordinates of D for parallelogram QUAD. Q(3,-4), U(-2,-1), and A(1, 2)

A: Rule - diagonals of a parallelogram bisect each other.

Q: Find the area of the triangle that is determined by the points P₁ ( 2 , 2 , 0 ) , P₂ ( -1 , 0 , 2 )…

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Q: Find the area of a parallelogram with corner points at (1,2), (4,6), (7,6), and (4,2) Area =

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Q: The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-11, –9, –17), (9,–3,…

A: Given a parallelepiped with its 8 vertices in no particular order. We need to find the volume of the…

Q: Find the lengths of the sides of the quadrilateral STUV with vertices S(-1,4), T(2,1), U(3,-5), and…

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