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) 14O 40 24 O 34 O

Q: O Find the volume of the solid under the surface z = xy and above the triangle with vertices (1, 1),…

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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: Show that the volume V of a parallelepiped having u, v, and w as adjacent edges is V = ∣u ∙ (v ×…

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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…

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Q: Find the volume of the part of the ball p < 1 that lies between the cones o = 1/4 and ø = r/3. -1+ 2…

A: We have to find the volume of the part of the ball rho&lt;=1 that lies between the cones phi = π/4…

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

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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 = 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: Evaluate the volume between the surfac x²y, and the rectangle in the xy 2 = plane given by 2 < x <…

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

A: u→=&lt;2,2,1&gt;v→=&lt;1,0,3&gt;w→=&lt;0,-4,0&gt;Volume of…

Q: ) show thet the pants ACいらり)。 B(2,2,2)) c(o,1,5) and D(1,0,5) are coplanear (in the Same plane). )If…

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Q: Find the volume of the solid cut from the cylinder r2 + y² = 49 by the planes z = 0 and r + z = 1.…

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Q: Find the area of the surface. The part of the paraboloid r(u, v) = ucosvi+usinvj+u*k; 0<us3,0svS2n 5…

A: Area of the surface is given by:          A=∬ru×rvdudv

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 = 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: 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: 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: verify that (u * v) . w = (v * w) . u =(w * u) . v and find the volume of the parallelepiped (box)…

A: Concept:…

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: Calculate the area of the surface S. x2 that lies between z = 2 and z 6. S is the portion of the…

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: Find the volume of the parallelepiped (box) determined by u, v, and w. u V i+ 3j 4i - j+4k 2i + 4k

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

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Q: If F = xy?i + yz? j + zx2k, and S is the region bounded by the triangle with vertices (1,0,0),…

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

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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: 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 Find the volume. V = i 102 u = 8i + 7j + k v = i + j…

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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…

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Q: What is the volume of the region bounded by the paraboloid z = x2 + y2 and the planes z = 0, x = -3,…

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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: 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: 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 + 7j + k v = i+j+2k w = i+ 9j + 2k Find the…

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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: Determine the volume of the largest rect an gu lar box in the first oct ant with three faces in the…

A: Given: The volume of the largest rectangular box is to be determined based on the first octant with…