Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u = 4i + j, v = 4j + k, and w = -j + 4k. Need Help? Read It

Q: (a) Use the disk method to find the volume of the sphere x? + y? + z? = r. (b) Find the volume of…

A: (a).

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: Use the disk method to verify that the volume of a sphere is 4/3 πr3 , where r is the radius ?

A: So sphere is basically a circle that is rotated through the x-axis. We will suppose to cut a disk…

Q: Find the volume of the pyramid with base in the plane z = -2 and sides formed by the three planes y…

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Q: Find the volume of the pyramid with base in the plane z = -11 and sides formed by the three planes y…

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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: Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and…

A: Given data: *The vertices of the triangle is (2,2), (2,7) and (4,7) From the coordinates of the…

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: Use a scalar triple product to find the volume of the parallelepiped that has u, v, and w as…

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Q: Find the volume of the solid that is enclosed by the cone  z = sqrt(x2 + y2) and the sphere  x2 +…

A:

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: 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: Use triple scalar product of (u*v)*w to find the volume of the parallelepiped having edges…

A: The given vectors are u = i + j + k v = 9i + 3j +2k w = 8i + 10j + 5k

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 = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the…

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Q: The volume of the tetrahedron enclosed by the coordinate planes and the plane 9x +y +Z = 18 is ?

A: We want to find the volume of the tetrahedron enclosed by the co-ordinate planes, i.e. x=0, y=0, z=0…

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

A: We have to find the volume of parallelepiped used the scalar triple product.…

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

A: Given, u=i+jv=j+kw=i+k

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: Use​ Pappus's theorem for surface area and the fact that the surface area of a sphere of radius a is…

A:

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

A: Concept: The calculus helps in understanding the changes between values that are related by 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: Use a scalar triple product to find the volume of the parallelepiped that has u, v, and w as…

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

A:

Q: Use the Theorem of Pappus to find the volume of the given solid. The solid obtained by rotating 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: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A:

Q: Use integration to compute the coordinates of the centroid of the triangle. 110 mm 70 mm 50 mm…

A: Let's label the sides of the triangular region denoted by say T as follows: The coordinates of…

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

A:

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

A: We have to find

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u = 2i…

A: We have to find the volume of parallelepiped using scalar triple product for the given adjacent…

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

A: Given; u=4i+6j+k , v=i+j+9k , w=i+7j+6k Volume (V)=?

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A:

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

A: Solution:-

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

A:

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

A:

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

A: Please see the attachment

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y? – x² + 4 and above…

A:

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u = 3i…

A:

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

A:

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

A: I use polar conversion method

Q: Determine the coordinates of the centroid of the trapezoidal area shown. y 60" 40" 60"

A:

Q: Determine the volume of the solid lying under the elliptic paraboloid z = 6y? – 2x2 + 3 and above…

A: To evaluate the integral

Q: Use the disk method to verify that the volume of a sphere is (4/3)π r3 , where r is the radius.

A: Volume of sphere of radius r is (4/3) πr3

Q: 1 %3D 12 27

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