To find the value of α such that the volume of the parallelepiped defined by the vectors →a=2^i+3^j+4^k, →b=^i+α^j+2^k, and →c=^i+2^j+α^k is equal to 15, we will use the formula for the volume of a parallelepiped, which is given by the scalar triple product:...
We give exact bounds to the minimum volume of a parallelepiped whose spanning vectors are perturbations of the n unit vectors by vectors of length at most ε. This extends Micciancio's recent sharp bounds to all possible values of ε. We also completely determine all possible perturbations with...
Volume Of Parallelepiped:Dot and cross products are used to find the volume of the parallelepiped. With the given points, we have to find the vectors a→,b→,c→ first, then use them to find the volume given by the expression V=|a⋅(b×c)|Answer and Explanation:...
If the volume of the parallelpiped with vec(a)xxvec(b),vec(b)xxvec(c),vec(c)xxvec(c)xxvec(a) as coterminous edges is 8 cubic units, then the volume of the par
Given the vectors→u=2^i−^j−^k→v=^i−^j+2^k→w=^i−^kIf the volume of the parallelepiped having −c→u,→v and c→w as concurrent edges, is 8 then ′c′ can be equal to View Solut...
Parallelepiped: The faces of this object are parallelograms. A cube and a cuboid are also parallelepipeds. Volume: The volume of a parallelepiped is the base area times the height. Dot Product: The dot product of two vectors is a scalar. The numerical val...
A Parallelepiped is a three-dimensional solid shape which has all six sides in the shape of a parallelogram. Given here is a detailed explanation of properties and formulas with examples.
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 v w2i+j 2i-j+k i+2k 相关知识点: 试题来源: 解析 7 反馈 收藏 ...
To calculate the molecular volume, a parallelepiped was placed around the ion, which was constructed from a van der Waals sphere centered around the atomic position. Two variables were defined: the number of probe points, N, and a number of points inside at least one of the van der Waals...
AB = B - A; AC = C - A; AD = D - A; % b. Calculate the volume of the parallelepiped using scalar triple product volume = dot(AB, cross(AC, AD)); % c. Use tolerance to account for floating-point errors, if co-planar goto STEP 2 ...