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

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: (3, 4, 2), (–2, 1,0), (0, 2, 1).

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: B) Find the volume of the parallelepiped (box) determined by u, v, and w while: u = 10i + 20j + 50k,…

A: I am going to solve the given problem by using some simple geometry to get the required result.

Q: Consider the parallelepiped with adjacent edges u = 8i + 6j + k v = i+j+ 2k w = i+ 6j + 3k Find the…

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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.

Q: Consider the parallelepiped with adjacent edges u = 8i + 4j + k v = i+j+9k w = i+ 9j + 4k Find the…

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

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Q: Consider the parallelepiped with adjacent edges u = 9i + 8j + k v = i+j+ 9k w = i+ 6j + 5k Find the…

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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: Consider the parallelepiped with adjacent edges u = 8i + 9j + k v = i+j+ 8k w = i+ 3j + 4k Find the…

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Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 4k w = i+ 9j + 8k Find the…

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Q: 14. Find the volume of the parallelepiped having i + 3j + 2k, 2i + j- k and i- 2j + k be the edges.…

A: The edges of the parallelopiped is given to be a=i+3j+2k, b=2i+j-k, c=i-2j+k. To find the volume.…

Q: Evaluate o y'dr - r'dy, where C is the boundary of the region between the circles z + y- 9 and 2 + y…

A: Here, we need to evaluate . By Green's theorem,                ∮Cy3dx-x3dy=∬-3x2-3y2dD=-3∬r2(r) dr…

Q: 日-1- Find the volume of the parallelepiped determined by w = |0,v = 1, and u =|1

A: The Volume of parallelepiped formed between three vectors A→,B→ and  C→ is given by the scalar…

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 9k w = i+ 3j + 7k Find the…

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

A:

Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+3k w = i+ 8j + 6k Find the…

A: As per given question  We are going determine the volume

Q: Consider the parallelepiped with adjacent edges u = 9i + 6j + k v = i+j+7k w = i+ 6j + 6k Find the…

A: The given equations are,  u=9i+6j+k v=i+j+7k w=i+6j+6k.

Q: Consider the parallelepiped with adjacent edges u = 9i + 5j + k v = i+j+ 8k w = i+ 2j + 8k Find the…

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Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 9j + 5k V Find…

A: Given;  u=3i+3j+k v=i+j+8k w=i+9j+5k.

Q: Consider the parallelepiped with adjacent edges u = 2i + 4j + k v = i + j+ 6k w = i + 2j + 5k Find…

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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: 26. ƒ(x, y) = ye*; R is the rectangular region with vertices (0, 0), (In 2, 0), (In 2, 3), (0, 3).

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

A:

Q: Consider the parallelepiped with adjacent edges u = 5i + 8j + k v = i+j+ 9k w = i+ 3j + 5k Find the…

A:

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

A: Given the adjacent edges of the parallelopiped are u = 6i + 5j + k v = i + j + 6k w = i + 3j + 6k

Q: B) Find the volume of the parallelepiped (box) determined by u, v, and w while: u = 10i + 20j + 50k,…

A:

Q: Consider the parallelepiped with adjacent edges u = 4i + 5j + k v = i+j+9k w = i+ 2j + 6k Find the…

A:

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: Consider the parallelepiped with adjacent edges u = 8i + 2j + k v = i+j+ 2k w = i+ 3j + 4k Find the…

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Q: Let C be the cubic region delimited by the coordinate planes and by the planes x = 2 y=2 and z=2 in…

A: the planes x = 2 y=2 and z=2 in the first octant.

Q: The figure below shows contours of g(x, y) on the region R, with 9 < x < 15 and 6 < y < 12. 12 -2 10

A: given region 9≤x≤15 and 6≤y≤12 using △x=△y=2 find an overestimate and an underestimate for ∫Rgx,ydA…

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: SSx x dA; R is the portion of the disk x +y s 16 in the second quadrart

A: According to the given information, it is required to find the value of the given integral.

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: + + Find the area of the portion of Sphere x² + y² + 2 = 9 betw= the planes Z=1 and 2 = 0. Draw

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Q: Consider the parallelepiped with adjacent edges u = 3i + 8j + k v = i+j+ 3k w = i+ 9j + 4k Find the…

A: u=3i+8j+kv=i+j+3kw=i+9j+4kVolume = (u×v).wu×v=ijk381113u×v= i(8(3)-1)-j(3(3)-1)+k(3-8)u×v=23i-8j-5k

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: Consider the parallelepiped with adjacent edges u = 9i + 7j + k v = i +j+ 6k w = i+ 9j + 4k Find the…

A: We can find the volume as below

Q: Find the points on the cone z? = x² + y² that are closest to the point (4,2,0).

A: Given :       z2 = x2 + y2  at (4 , 2 , 0)   Minimize the distance function is   f(x ,y ,z) =  (x -…

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

A:

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: Find c > 0 such that the area of the region enclosed by the parabolas y = 390. c and y = c² – a? is…

A: we know that areaA of the region enclosed by given parabola is given by A=2∫-ccc2-x2dx=4∫0cc2-x2dx…

Q: Find the minimum distance from the surface to the given point. (Hint: Start by minimizing the square…

A: The minimizing function is, d2=(x-8)2+y2+z2

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

A:

Q: Set, up, a 5. do ble to integtate the fen: the region over, bounded by the lines.. and X= 3 ミメート Y=…

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Q: Use Lagrange multipliers to find the volume of the largest rectangular parallelepiped that can be…

A: To find the volume of a rectangular parallelepiped, the simplest method is to take one vertex, then…

Q: Consider the parallelepiped with adjacent edges u = 4i + 7j + k v = i+j+ 6k w = i+ 4j + 9k Find the…

A: The adjacent edges of the parallelepipedu=4i+7j+kv=i+j+6kw=i+4j+9k

Q: Consider the parallelepiped with adjacent edges u = 8i + 5j + k v = i+j+3k w = i + 8j + 4k Find the…

A: Topic = Vectors