A quadrilateral has vertices at (0,1,2), (3,0,1), (4,3,6), (2,3,2). Show that the volume of the quadrilateral is 6

Q: Find

A:

Q: Find the volume of the solid obtained by rotating the triangle with the vertices A(0,0), B(4,4) and…

A: Solution

Q: what are the dimensions of the right hexagonal prism of minimum surface whose volume is 36 cubic…

A: This is a problem of optimization.

Q: 2 Find the volume of the parallelepiped whose edges are represented by A=i-13j+ 4k, B = 31+2j-7k and…

A: Given A→=i-13j+4k,  B→=3i+2j-7k and C→=i-2j+2k

Q: What is the volume of the parallelepiped with sides 6i + 9j + 5k, 2j + 5k, and 10k? volume %3D

A:

Q: Find the volume of the largest parallelopiped with faces parallel to coordinate planes that can be…

A: The volume of the largest rectangular parallelepiped that can be inscribed in the ellipsoid So, The…

Q: use triple scalar product to find the volume of the parallelpiped u= v= w=

A:

Q: If V=i +2j+3K, V,=zi +2j +2K, V = 3i+3 j +K, find the Volume?

A: Given vectors are V1→=i+2j+3kV2→=2i+2j+2kV3→=3i+3j+k So volume is V1→.V2→×V3→

Q: Draw the tetrahedron* whose vertices are at (0, 0, 0), (0, 4, 0), (3, 3, 0), and (1, 2, 3).…

A:

Q: Find the volume of the parallelepiped with adjacent edges −→OA = , −−→OB = , −−→OC = .

A: Volume of parallelepipe is given by=  | a.(b*c) |

Q: Show that a pyramid of height h whose base in an equilateral triangle of side s has √3 2 volume -hs"…

A:

Q: Squares with sides of length x are cut out of each corner of a square piece of cardboard with sides…

A: Length of the box, l=L-2xWidth of the box, w=L-2xHeight of the box, h=x Volume of the box, Vx=lwh⇒…

Q: C- An iron tank with a full cover in the form of a parallelepiped with a square base and a volume of…

A:

Q: Find the volume 7 cm 7 cm 6 cm 12 cm 4 cm

A: The area of  front triangle = (1/2) *base*height                                                =…

Q: (₁) Find the volume of the parallelpiped R³ whose corner points (0, 0, 0), (1, 1, 1), (2, 2,5),…

A:

Q: What is the volume of the parallelepiped with the sides i, 8j-k, and 9i+7j-k?

A: Given that, Find the volume of parallelepiped.

Q: Find the volume of the “pyramid of cubes” with a square base of side length 2 and a height of 2

A: Given:We are required to: