The author considers a direct sum of real vector spaces and shows that the maximum volume of a parallelepiped spanned by unit vectors is equal to the inverse of the volume V of the projection of the unit cube on
Parallelepiped Volume Calculator. This step-by-step online will help you understand how to find volume of a parallelepiped.
The volume of a parallelepiped is equal to the product between its three dimensions, that is, length, width and height. The volume formula for this kind of prism is given by: V=L⋅W⋅H. The units of measure of volume are cubic units.Answer and Exp...
Find the volume of the parallelepiped whose coterminous edges are r... 01:29 If the volume of a parallelepied having vec(a)=(5hat(i)-4hat(j)+hat(k)... 02:26 It is given that the vectorsvec(a)=(2hat(i)-2hat(k)), vec(b)=hat(i)+(l... 01:24 Which of the following ...
What is the formula for the volume of a parallelepiped? Find the volume of the following: a) A cone having a radius of 8 cm and a height of 17 cm. b) An 18 in by 18 in square pyramid with a slant height of 15 in and a height of 12 in. ...
To find the value of a such that the volume of the parallelepiped formed by the vectors ^i+a^j+^k,^j+a^k,^i+^k becomes minimum, we can follow these steps: Step 1: Define the vectorsLet:- v1=^i+a^j+^k- v2=^j+a^k- v3=^i+^k Step 2: Find the volume of the parallel...
An immediate consequence of this definition is that the volume of a parallelepiped with length L, breadth B, and height D has the value LBD. Like the calculation of areas, the calculation of volumes is based on axioms that usually are not formulated explicitly. To state the axioms we must...
geom3d volume compute the volume of a sphere, regular polyhedron, general tetrahedron, or parallelepiped Calling Sequence Parameters Description Examples Calling Sequence volume( obj ) Parameters obj - sphere, regular polyhedron, general tetrahedron,...
百度试题 结果1 题目 Verify that (u* v)⋅ w=(v* w)⋅ u=(w* u)⋅ v and find the volume of the parallelepiped (box) determined by u, v, and w.u=2i v=2j w=2k 相关知识点: 试题来源: 解析 8 反馈 收藏
Consider three line elements dX1, dX2, dX3 at point X that form a right-handed system in the reference configuration; see Figure 3.10. The volume element dV in the reference configuration is the volume of the parallelepiped formed by these three line elements, i.e., Sign in to download ...