Find the volume of the parallelepiped shown having    u = 3i − 5j + k ,            v = 2j − 2k and w = 3i + j + k as adjacent edges.

Q: The volume V of the parallelopiped that has u, v, w as adjacent edges is given by: V = |u. (v × w)|.…

A: We have to find

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 volume of the solid that lies under the hyperbolic paraboloid = 3y² – x² + 2 and above the…

A: Integral

Q: 5. Find the volume of the tetrahedron bounded by the coordinate planes and the plane 3x + 6y + 4z -…

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Q: 6. Find the volumes of the solids in the following figure z =-VI - r?

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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: Find the volume of the paraboloid, z = 9 - x² - y², that lies inside the cylinder x² + y² = 4.

A: It is seen that the paraboloid and cylinder both are extended upto negetive infinity of along z…

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: By integrating all three surface elements of a cylinder, find the surface area of a cylindrical pie:…

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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: Find the volume of the tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

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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 = 5i + 7j + k v = i+j+7k w = i+ 8j + 7k Find the…

A: Volume of the parallelepiped is 238 cubic units.

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

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Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y…

A: We need to evaluate volume.

Q: Find the volume of the pyramid with base in the plane z=−5 and sides formed by the three planes y=0…

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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: The volume of the tetrahedron bounded by the coordinate planes and the plane x+y+z=4 is

A: Given

Q: Find the volume of the largest closed rectangular box in the first octant having three faces in the…

A: To Find: Volume of the largest closed rectangular box in the first octant having three faces in the…

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: 9. Find the volume of the solid wedge cut from the first octant, bounded by the three coordinate…

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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 parallelepiped with adjacent edges Find the volume. u = 2i + 7j + k v=i+j+7k w = i +4j…

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Q: Find the volume of the tetrahedron bounded by the four planes x=0,y=0,z=0, and 2x+2y+x=4?

A: The equation of the plane 2x+2y+z=4  can be rewritten in the form  z=4-2x-2y let z=0, 0=4-2x-2y…

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: Find the volume of the solid bounded by the paraboloid z = 6x + 6y and the plane z = -

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Q: (d) Consider the parallelepiped P in R³ whose adjacent sides are (0, 4, 0), (3, 0, 0) and (-1, 1,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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

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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: 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: Evaluate the triple integral. 4xyz dv, where Tis the solid tetrahedron with vertices (0, 0, 0), (1,…

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Q: The volume of the tetrahedron bounded by the coordinate planes and the plane x+y+z=2 is a. 2 Ob. 32

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

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

A:

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 bounded by the paraboloid z = 1+ 3x? + 3y? and the plane z = 16 in the first octant.

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

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Q: O Find the volume of solid in the first octant bounded by the co- ordinate planes, the planes x-3,…

A: We will find out the required volume of the solid in the first octant.

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

A:

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

A:

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

Q: The volume of the tetrahedron bounded by the plane * ++ = :1, {a, b, c > 0} and the coordinate a…

A: Volume of the figure will be given by integral - V = ∫∫∫dzdydxLet's find limits of z,y and x - Given…