Problem 3 Let MNPQ be a parallelogram. Consider a point E inside MNPQ such that PE PN. The points I and J are respectively the midpoints of the segments [ME] and [PQ), Show that (NE) L (IJ). =

Q: be the line segmet at 0, 2+3i. Find Şzdz Let S ending at and Să dz

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Q: 4. Evaluate S. (z - 4) dz, where r is a contour from the two line segments, the first from z = -3 to…

A: The given question is related with complex integration. We have to evaluate the integral,…

Q: . For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line = (2,-1,-2) + t(3,1,-2)…

A: I have appended the formula used in the solution part of the question

Q: stion a). Use the geometric definition of to explain the distane equation cross product in part (1)…

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Q: Find ZJ. K 92° 45° M 88° 45° 135° 108°

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Q: Consider points A(4, -1, 3), B(3, 1, 8), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

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Q: If T is the midpoint of segment SU, what is SU if ST= 6x and TU= 3x + 27?

A: Since T is the midpoint of SU, ST = TU.Therefore, we can set the two expressions equal to each…

Q: 15. M is the midpoint of line segment PQ, and R is the midpoint of TS. If PM = MQ = a and TR = RS =…

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Q: The diagonals of parallelogram JKLM intersect at P. If PM = 3x – 2, PK = x + 3 and PJ = 4x – 3, find…

A: Use parallelogram properties

Q: In triangleRST, the medians are RM, SN, and TP. If RM = 9, SN = 12, and TP = 16, find the distance…

A: median of the triangle

Q: Find the minimal distance bettween the point Cli4) to the line

A: Definition used -                 Minimum distance from a point to the line -…

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: Find the lengths of the sides of the triangle given by the points P(2, –1,0) and Q(4,1,1) and R(4,…

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Q: 1. Which of the following would find the distance between point X(a.b) and point Y(c,d)? a. V(a +…

A: The point on the cartesian coordinate system will be of the form x,y. The cartesian coordinate…