Consider the points A(3, –1,2), B(2, 1,5) and C(1,–2, –2) Find the area of parallelogram ABCD with adjacent sides AB and AC.

Q: a) parallelogram, then find its area: P2(1, 0, 1), P3 (0, 1, 1), p.(1.1.1) Show that the four points…

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Q: Given W(-1,5,2), X(6,-2,3) and Y(-2,-7,-3), are points in 3D, then determine the area of…

A: To find the area of the parallelogram formed by two vectors

Q: Find T, N and k for the spacecurves:

A: We have to find Unit Tangent Vector T,  Unit Normal Vector N and Curvature K for given space curve…

Q: The parallelogram (ABCD) has vertices at A(2,-1,4), B(1,0, –1), C(1, 2, 3), and D, then اخترأحد…

A: We have to find Coordinate D, Area of parallelogram and projection of BC onto BA.

Q: Find the area of the triangle formed by the three points P(1,0,1), Q (2,0,2), and R(3,3,3). a) 2.2…

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Q: The triangle ABC has a centroid, sides measure AB = 67.83 m, BC = 33.25 m, and CA = 62.51 m. Compute…

A: A detailed solution is given below

Q: (d) Determine all possible points P that lie on the line passing through B and D, so that the area…

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Q: Consider points A(2, –3,4), B (0, 1, 2) and C(-1,2,0). 1.4 Find the area of parallelogram ABCD with…

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

Q: ABCD, EF AB a+ E, EF bisects Given : Parallelogram CD at F, Prove: EG Y FG bisects A

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Q: Find the area of the parallelogram that has u = i – 2j + k and 2j + k as adjacent sides. V NOTE:…

A: Calculate the cross product of two vectors and then find the magnitude

Q: Given: AB 2 BC and D is the midpoint of AC. Prove: BD bisects ZABC.

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Q: Find the area of the parallelogram that has two adjacent sides u = 5i + 4k and v i+2j + 2k

A: Area of parallelogram is obtained by the magnitude of cross product vectors of two adjacent sides.

Q: Consider the regular hexagon shown on the coordinate plane. (-2. 3.5) (2.3.5) (4,0) (4. 0) (-2,-3.5)…

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Q: In the given figure, ABCD is a parallelogram in which E is mid-point of AD and AM//EC. AM and DC and…

A: Given- In the figure ABCD is a aprallelogram in which E is mid point of AD and AM/EC. AM and DC are…

Q: Without plotting the points or drawing the figure, find the coordinates of the new vertices of the…

A: given pentagon with vertices at V(3,2), W(5,10), X(6,12), Y(−0.5,1.25), Z(1,0)

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

A: Triangle with vertices P1, -1, 0, Q2, 1, -1 & R-1, 1, 2.…

Q: The area of the parallelogram with two adjacent sides that are formed by V = i+j-2k and w= 2i-j-k is

A: Given,          The two adjacent sides vectors are v→=i+j-2k and w→=2i-j-k.We know that,…

Q: 5. In the picture below, M is the midpoint of AB, and N is the midpoint of both BC and MP. Prove…

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Q: Consider the points A: (3, -3, 1), B: (0, 3, 2), and C: (-4,2,0). Find the area of parallelogram…

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Q: Find the area of the parallelogram that has adjacent sides u=2i−j+k and v=2j−k.

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Q: Find the area of JEN if the coodrinates of the vertices are J(0,3) E(6,0), and N(8,3)

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Q: let v = (1, 3, −2) and w = (2, −1, 4). Find the area of the parallelogram spanned by v and w.

A: Given: v=1,3,-2 w=2,-1,4 Determine the cross product of v and w.…

Q: ABCD is a parallelogram with A (0,0), B(2,4), and C (10,4). Find the possible coordinaes of D. 10…

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Q: 22. In parallelogram ABCD, E and F are the midpoints of AB and CD, respectively. Prove that AECF is…

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Q: In this exercise we find the area of a plane figure. Draw the parallelogram with vertices A(3, 5),…

A: Here we have to draw the parallelogram with vertex A(3,5), B(7,5), C(5,8), and D(9,8).  The graph of…

Q: In AYZX, the midpoints of ZX and YX are M and N, respectively. The intersection of YM and ZN is G.…

A: M and N are the mid points of the side ZX¯ and YX¯, respectively. The measure of side YG is 22.

Q: 2. Find the area of the rhombus. di - (6x + 4) cm 42 - (10x + 10) cm a. (200x') cm² b. (30x² + 50x…

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Q: Find the area of the parallelogram that has u = 2i - 3j + 2k and = 2j+ k as adjacent sides. NOTE:…

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Q: The midpoint of AB is at (2,5). If A=(7,0) find B

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Q: Find the area of the parallelogram spanned by v = (1, 1, 1) and w = (0, 0, 2).

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Q: Find the area of the parallelogram with adjacent sides u = i + 3j − 2k and v = 3i − j − k.

A: u=i+3j-2k  &  v=3i-j-k Now, u×v=ijk13-23-1-1=i-3-2-j-1+6+k-1-9=-5i-5j-10k

Q: Given A ABC with points A (-1,2) B(4,-3) and C (0,0) dilated about a center at the origin by a scale…

A: The dilation factor is 3 Let the new coordinates be A'B'C' Then the new coordinates will be…

Q: E is the mid-point of side AD of a parallelogram ABCD. F is any point of diagonal BD such that 4DF…

A: Given problem is :

Q: Assume that a = b + d. a. Show that the trapezoid is isosceles. b. Prove that its diagonals are…

A: Given  Here assume that a = b + d.

Q: Find the area of the parallelogram that has u = i - j+ 2k and v = 3j + 2k as adjacent sides. V NOTE:…

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Q: Consider the parallelepiped with adjacent edges u = 6i + 5j +k v =i+j+5k w =i+6j + 6k Find the area…

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Q: Consider points A(2, –3, 4), B (0, 1, 2) and C(-1,2,0). 1.4 Find the area of parallelogram ABCD with…

A: Given points are                                                       A=(2, -3, 4)B=(0, 1, 2)C=(-1,…

Q: Given A ABC with points A (-1,2) B(4,-3) and C (0,0) dilated about a center at the origin by a scale…

A: Topic:- Geometry

Q: (a) Find the area of the parallelogram spanned by u -1 and i =

A: Area of parallelogram spanned by two vectors u→, v→ is the magnitude of the cross product of the…

Q: Find the area of the parallelogram that has two adjacent sides u=-3i+2k and v=i+j+2k

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Q: E is the midpoint of Ad of a parallelogram ABCD.F is any point of diagonal BD such that 4DF=BD.EF if…

A: Given: 4DF=BD Construction: Draw the diagonal AC. It will intersect the diagonal BD at point H.

Q: Find the measures of 25 and Z4 in the given rhombus with the diagonals drawn. 4 19 m24 = degrees m25…

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Q: Find the area of the parallelogram with vertices (0,0), (4,0), (5,2) and (1,2). (1,2) (5, 2) (0,0)…

A: Here, we need to find the area of the given parallelogram.

Q: Let AABC be a triangle. Fix the points X, Y, and Z on AB, AC, and BC, respectively (as in the…

A: The given triangle is                     The given condition is BXXA=AYYC=CZZB=4 Then  BXXA=4BX=4…

Q: Let the points B, C be perpendicular to the bases O and A (13,0), respectively, on the line 5x-12y +…

A: Given equation of line: 5x-12y+65=0 Coordinates of point A: (13,0)  Coordinates of point O: (0,0)

Q: Consider points A(2, –3,4), B(0, 1,2) and C(-1, 2,0). 1.4 Find the area of parallelogram ABCD with…

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Q: E is the mid-point of side AD of a parallelogram ABCD. F is any point of diagonal BD such that 4DF =…

A: According to Given problem  Given E is midpoint of AD 4DF=BD To prove CG=DG