Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(5, −2, −2), C(7, 1, −9), D(3, 4, −4)

Q: Find the area of the parallelogram with the vertices A(-5,–4), В(2, —4), С(4,4) and D(-3,4).

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Q: If A (-2,-1),B(a,0),C(4,6) and D(1,2)are the vertices of a parallelogram, find the values of a and…

A: In parallelogram, opposite sides are parallel to each other.Hence their slopes are always same.

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: Show that A(-4, 2), B(1, 4), C(3, -1), and D(-2, -3) are vertices of a square.

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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: Determine whether the four vertices form a parallelogram: P(1, - 4), Q(3, 11) , R(6, 11), S(4, - 4)…

A: Diagonals of parallelogram bisect each other.So we will find  mid points of each diagonal and see if…

Q: Find the area of the parallelogram whose vertices are: A(0,0,0) B(5,2,6) C(9,-1,6) D(4,-3,0)

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Q: Calculate the area of the parallelogram with the given vertices. (-1, -2), (3, 5), (6, 2), (10, 9)

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Q: Determine whether the four vertices form a parallelogram: D(2, - 4) , E(4, 8), F(10, 8), G(8, - 4) .

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