Find the volume of the parallelepiped with. adjacent edges PQ, PR, and PS, where P(-2,1,0), Q(2,3,2), R(1,4,4), S(3,6,1)

Q: Exercise 1. Find the area of the polygon in R³ with corners (3, –4) (-7, 7), (5, 5), (–5, –6) and

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(2, 0, –1), Q(4, 1, 0),…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2,1,0) Q(2, 3, 2)…

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Q: Consider the right triangle withvertices (0, 0), (0, b), and (a, 0), where a > 0 and b > 0.…

A: Given right angle triangle has vertices  (0, 0), (0, b), and (a, 0), where a > 0 and b > 0.…

Q: Consider the parallelepiped with adjacent edges u = 4i + 3j + k v = i+j+ 4k w = i+ 9j+ 2k Find the…

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Q: Let u = i−5k, v = 2i−4j + k,and w = 3i−2j + 5k. (a) u · (v × w) = ______. (b) The volume of the…

A: Given :           u = i - 5k , v = 2i - 4j + k, w = 3i - 2j + 5k

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: Determine whether or not the points A(1,3,−2), B(3,4,1), C(2,0,−2), and D(4,8,4) are coplanar. If…

A: Let vector a , b and c represents the vector vector AB,AC and AD respectively.

Q: Find the volume of the parallelepiped with adjacent edges  PQ, PR,  and PS. P(−2, 1, 0), Q(5, 2,…

A: Given : The four points are given as, P-2,1,0, Q5,2,5 , R1,4,-1  and S3,6,1 To  find: The volume of…

Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v=i+j+ 7k w = i + 9j + 5k Find the…

A: Given, u=5i+2j+k,v=i+j+7k,w=i+9j+5k.

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Q: a =i +j +2k,b =i+k,č = j +k.

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Q: Find the volume of the parallelepiped having adjacent edges u, v, and w; for u = (1,-1,0), v =…

A: Given u=1,-1,0, v=0,2,2 and w=1,3,1

Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v = i+j+ 7k w = i + 8j + 2k %| Find…

A: The volume of the parallelepiped is 253

Q: Sketch the triangle with vertices at the origin O, P = (3, 3, 0), and Q = (0, 3, 3), and compute its…

A: The area of the triangle using the cross products is defines as Area=12v×u Here, v is the vector…

Q: Calculate the volume of the parallelepiped spanned by u = (2, 2, 1), v = (1,0, 3), w = (0, -4, 0)

A: u→=<2,2,1>v→=<1,0,3>w→=<0,-4,0>Volume of…

Q: Consider the parallelepiped with adjacent edges u = 5i + 9j + k v = i+j+3k w = i+ 5j + 7k Find the…

A: volume of the parallelepiped is given by  u→·v→×w→

Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 8j + 4k Find the…

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Q: Find the volume of the parallelepiped spanned by u, v, and w in the Figure below.

A: u=(1,0,4) v=(1,3,1) w=(-4,2,6)

Q: Consider the parallelepiped with adjacent edges Find the volume. V = u = 5i + 2j + k v=i+j+ 7k w = i…

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: Find the volume of parallelepiped

Q: Consider the parallelepiped with adjacent edges u = 5i + 9j + k v = i+j+ 3k w = i+ 5j + 7k Find the…

A: Given three edges of a parallelpiped are u=5i+9j+k, v=i+j+3k and w=i+5j+7k. The objective is to find…

Q: Consider the parallelepiped with adjacent edges u = 6i + 6j + k v = i+j+7k w = i+ 4j + 3k Find the…

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Q: Find the area of the surface. The part of the cylinder y2 + z2 = 9that lies above the rectangle…

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i 137 u = 8i + 7j + k v = i + j…

A: Directly use the formula for the volume of parallelepiped.

Q: Find the volume of a parallelepiped if four of its eight vertices are A(0, 0, 0), B(1, 2, 0), C(0,…

A: Draw the diagram roughly

Q: Find the volume of the parallelepiped with adjacent edges t = 3j – 4j – 6k, u = 3i – 7j – 7k and v =…

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Q: Find the area of a rhombus with the given dimensions. Diagonal 1 = 12 in. Diagonal 2 = 8 in. %3D

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Q: Find the perimeter of isosceles ACAT if M and W are midpoints. A 3x 2х + 2 M, W y – 2 2y T leonardy

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Q: Find the volume of the parallelepiped with adjecent edges PQ, PR and PS; P(-2,1,0), Q(2, 3, 2), R(1,…

A: Volume of the parallelepiped:                     The volume of the parallelepiped  is equal to the…

Q: Find the volume of a parallelepiped if four of its eight vertices are P(0,0,0), Q(3, 4, 0), R(0, –3,…

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: O FIND THE -く,2,3> VOLUME oF TIAE PARALLEL EPIPED WITH VECTURS J = <4,10,87 w - <1,0,17 and AS…

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Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+ 7k w = i+ 5j + 7k Find the…

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Q: Find the volume of the parallelepiped spanned by u = (1, 0, 4), v = (1, 2, 1) and w = (-4, 2, 9) in…

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Q: Consider the parallelepiped with adjacent edges u = 9i + 5j + k v = i+j+ 3k w =i+ 6j + 4k Find the…

A: Let's find.

Q: 15. Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS, where P(-2,1,0),…

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i 102 u = 8i + 7j + k v = i + j…

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Q: 28. Find the volume of the parallelepiped having edges PQ, PR, and PS if the points P, Q. R, and S…

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Q: Find the volumes of thetetrahedra whose vertices are A(0, 0, 0), B(2, 0, 0), C(0, 3, 0), D(0, 0, 4)

A: Consider the following vertices: A0,0,0, B2,0,0, C0,3,0, D0,0,4…

Q: Find the volume of the parallelopiped with adjecent edges PQ, PR, PS where P(5,-2,-3), Q(7,1,0),…

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Q: Find the volume of the parallelepiped with adjacent edges t = 3j – 4j – 6k, u = 3i – 7j – 7k and v =…

A: t =3j–4j–6k, u=3i–7j–7k and v=5i+ j+3kTo find the volume of the parallelepiped

Q: Figure FGHIJK is a regular hexagon. Segment FK is located at F (1, 2) and K (4, 2). What is the…

A: To determine the perimeter of the hexagon.

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2,1,0) Q(2,3, 2)…

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Q: Consider the parallelepiped with adjacent edges u = 3i + 2j +k v = i+j+4k w =i+6j + 2k Find the…

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Q: Find the absolute maximum and minimum values of f(r, y) = r-3r-y+12y, closed region D, where D is…

A: Given problem:-  Find the absolute maximum and minimum values of f(x, y) = x²-3x-y³+12y, on the…

Q: (b) Prove the volume of a parallelepiped with a vertex at the origin and edges ü,v, and w is given…

A: In the question we have to prove the formula.

Q: Q17) Let ABCD be a convex quadrilateral in E.G. and let O be an interior point of ABCD. If E, F, G,H…

A: We have to find the relationship between area of 4 part of quadrilateral.

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR and PS given the  points P = (−2,…

A: We have to find