The points A(- 1, 2,- 1), B(2, - 1, 3) and D(- 3, 1,- 3) are 3 vertices of parallelogram ABCD. Find: a) the coordinates of C b) the measure of interior angles  c) the area of the parallelogram

Q: Four of the vertices of a parallelepiped are A = (9, –5, -6), B = (15, -3, -12),C = (1,-12, -6), and…

A: Step:-1 Given that A = 9, -5, -6,  B=15, -3, -12,  C=1, -12, -6   and  D =2, -9, 2 AB→= 15-9 i +…

Q: A) Find the area of the triangle with vertices A (1, -1, -1), B (1, 1, -2) and C (0, -2, -3). B)…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the points A(-10,8), B(-1,-13), C(-4,-15). Given that ABCD is a parallelogram, find the…

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Q: 5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a)…

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Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0)…

A: Consider a triangle T defined by its three vertices r1, r2, and r3. Each point r located inside this…

Q: Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a…

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Q: Quadrilateral ABCD has vertices A(-1, 5), B(4, 4), C(5, -3) and D(-4, -2). Quadrilateral SQUR is…

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Q: Rectangle DEFG has vertices at D(6,1), E(6,5) and F(-1,5) a) What is the coordinate pair 4th vertex,…

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Q: 5) x2 (y - 6 ) 2 64 121 + - = 1

A: we will find the required.

Q: 6) Consider the three points in the plane given by their coordinates: A = (0,0) B=(2,2) C=(3,5).…

A: I have explained everything with in the solution. Please go through that

Q: Find the coordinates of the midpoint of the segment that joins the points a) (a, 0) and (0, b). b)…

A: Givena a, 0 and 0, bb 2a, 0 and 0, 2bMidpoint =x1 +x22 , y1+y22

Q: Do three points determine a plane?

A: We know by following ways plane can be determined: 1. Three non collinear points determine the…

Q: Let the vertices of parallelogram MNPQ be the points M(0,0), N(a,0), P(a+b,c), and Q(b,c). Which…

A: Consider a parallelogram MNPQ with vertices  M(0,0), N(a,0), P(a+b,c), and Q(b,c)

Q: In the figure, P(-4,3), Q(-2,-4), R(k,-17/2) and S(1,2) are four points on a rectangular coordinate…

A: The given points are:P=(-4, 3)Q=(-2, -4)R=k, -172S=(1, 2)

Q: 38. A rectangle with sides parallel to the axes has vertices at (3, - 2) and (-4, – 7). a) Find the…

A: Explanation of the answer is as follows

Q: 8) Determine whether the given vertices represent a parallelogram, rectangle, or rhombus. ВС-1,-1),…

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