Verify that the points A(2, −3, 1), B(6, 5, −1), C(7, 2, 2), D(3, −6, 4) are the vertices of a parallelogram, and find its area

Q: Find the coordinates of the circumcenter of APQR with vertices P(-2,5) , Q(4,1), and R(-2, - 3).

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Q: |Find the coordinates of the intersection of the diagonals of paralle with vertices P(2,5), R(3,3),…

A: Follow the procedure given below.

Q: Find the area of a quadrilateral with vertices A( - 1 . - 1), 5(9, 4), C(20, 6).and D(10, 1).

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Q: Find the area of the parallelogram with vertices  K(2, 1, 1), L(2, 2, 4), M(4, 6, 4), and N(4, 5,…

A: To Determine  The area of the parallelogram with vertices  K(2, 1, 1), L(2, 2, 4), M(4, 6, 4), and…

Q: Show that the points A(2, -1), B(1, 3), and C(-3, 2) are verticesof a square, and find the fourth…

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Q: Use slopes to show that the quadrilateral with vertices at (1, 3), (-5/2, 2), (-7/2, 4), and (2, 1)…

A: Given that Vertices of quadrilateral are A1, 3, B-72, 4, C-52, 2 and D2, 1   It is known that the…

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A: Given Parallelogram vertex।  A(1,1,1,1)  B(2,3,4) C(6,5,2) , D(7,7,5) Area = ∥AB ×AD∥ AB =…

Q: Verify that the points are the vertices of a parallelogram, and then find its area.(1, −2, 0), (4,…

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Q: Determine if the points X(26, 24), Y(2, 22), and Z(0, 5) form the vertices of a right triangle.

A: Given points are X26,24, Y2,22 and Z0,5. To determine whether points form the vertices of a right…

Q: Show that the points A(3,-2,4)B(1,1,1,) and C(-1,4,-2) are collinear

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Q: Determine the coordinates for the intersection of the diagonals in RSTU with vertices at…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-8, 5,…

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Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1), and M(-1,2) is a square.

A: We have to prove that the quadrilateral given is a Square

Q: Verify that the points are the vertices of a parallelogram, and then find its area.(1, 1, 1), (2, 3,…

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Q: Verify that the points are the vertices of a parallelogram, and then find its area. (1, 1, 1), (5,…

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Q: Find the coordinates of the intersection of the diagonals or Parallelogram PRYZ with given vertices.…

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Q: Suppose that a box has its faces parallel to the coordinate planes and the points (4, 2,−2) and (−6,…

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Q: Prove that ABCD with vertices 4(-1,3), B(-4,-1), C(1,-1), and D(4,3) is a rhombus assuming it is…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), В(-4, -5,…

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Q: Show that the points (−1, 0), (3, 0), (1, 2), and (1, −2) are vertices of a square.

A: Let us consider A(-1,0) , B(3,0), C(1,2) and D(1,-2) To verify ABCD as a square We need to verify if…

Q: Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1)…

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Q: Find the area of the parallelogram with vertices K(1, 2, 1), L(1, 5, 2), M(6, 10, 2), and N(6, 7,…

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Q: Find the areas of the parallelograms whose vertices are given A(1, 0), B(0, 1), C(-1, 0), D(0, -1)

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Q: Find the area of the parallelogram with vertices P(3, 3, 2), Q(6, 5, 4), R(11, 9, 13), and S(8, 7,…

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Q: Find the areas of the parallelograms whose vertices are A(1, 0), B(0, 1), C(-1, 0), D(0,-1)

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Q: Verify that parallelogram ABCD with vertices A(-5, – 1), B(-9, 6), C(-1, 5), and D(3, – 2) is a…

A: We can verify this as below using the diagonals.

Q: Find the area of the parallelogram with the vertices A(2, 2), B(1, 4), С(3, 5). 1 10

A: The given vertices are: A=(2, 2)B=(1, 4)C=(3, 5)

Q: Find the are of the parallelogram with vertices P1, P2,P3,P4. P1=(4,1,1) P2 = (4,4,3) P3 = (2,-3,0)…

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Q: Find the areas of the parallelograms whose vertices are given A(-1, 2), B(2, 0), C(7, 1), D(4, 3)

A: Given vertices of the parallelogram are A-1,-2, B2,0, C7,1 & D4,3. Area of parallelogram…

Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), B(—2, 3,…

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Q: Verify that the points are the vertices of a parallelogram, and find its area A( 1, 1, 3), B(-5, 7,…

A: let the points be A1,1,3 , B-5,7,1 , C-3,10,-6 , D3,4,-4 verify that the points are the vertices of…

Q: Find the area of the parallelogram with vertices A(-4, 1), B(-2, 4), C(2, 2), and D(0, -1).

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Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 7), C(9, 6), and D(7, –1).

A: Area of a parallelogram with vertices(-3,0) , (-1,7) , (9,6) and (7,-1) isgiven byA = 12 |…

Q: Find the area of the parallelogram with the vertices A(-1,2,4), B(0,4,8), C(1,1,6), and D(2,3,10).

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Q: Determine the coordinates for the intersection of the diagonals in RSTU with vertices at…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

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Q: Find the area of the parallelogram whose vertices are (0,0), (7,2), (8, 5), and (1,3).

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Q: Prove that the quadrilateral with vertices A(0,0), B(4,3), C(7,-1) and D(3,-4) is a square.

A: →In a quadrilateral, if all sides are equal then quadrilateral is a square. →Calculate the length of…

Q: Find the area of the parallelogram with vertices A(−3, 0), B(−1, 4), C(6, 3), and D(4, −1).

A: The area of the parallelogram with the vertices is given by,

Q: Find the area of the parallelogram with the points A(2, 5, 6), B(4, 8, 10), C(11, 7, 9) and D(9, 4,…

A: Formula: The area of parallelogram = Length of cross product of adjacent sides. Given: Vertices of…

Q: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, -2,…

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Q: Use the cross product to find the area of the parallelogram whose vertices are (0,0,0) , (0,2,1),…

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Q: Verify that the points are the vertices of a parallelogram, find its (section 9.7) area, and…

A: A(2,-1,4) B(3,1,2) C(0,5,6) D(-1,3,8)

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: Find the area of the parallelogram with vertices A(-3, 0), 8(-1, 4), C(6, 3), and D(4,-1).

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), в(-4, 5,…

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Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, –1).

A: Given:- Parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1). To find:- Area of…

Q: Find the area of the parallelogram with vertices  A(−3, 5), B(−1, 8), C(3, 6), and D(1, 3).

A: We first have to find the AB and BC vectors. A(−3, 5), B(−1, 8), C(3, 6)AB=(-1 -(-3) , 8-5)…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-5, 7,…

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