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:...
Volume of a parallelepiped The volume of a parallelepipedis equal to the product of the base area to a height of a parallelepiped. Volume formula of a parallelepiped: V =Ab· h where V - volume of the parallelepiped, Ab- the area of the base of the parallelepiped, ...
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 the first summand. He points out that 1/V 2 is the coefficient of ...
Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS given P(1, 0, 3), Q(-3, 1, 8), R(3, 2, 1), S(-2, 6, 6). Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(2, 0, -3), Q(4, 3, -1)...
If the volume of the parallelepiped having −c→u,→v and c→w as concurrent edges, is 8 then ′c′ can be equal to View Solution Q2 →V=2^i+^j−^k and →W=^i+3^k. If →U is a unit v...
u=(1,0,3),v=(1,5,1)andw=(−5,2,8) If u,v,w are three vectors then volume of parallelepiped is given by {eq}V=...Become a member and unlock all Study Answers Try it risk-free for 30 days Try it risk-free Ask a question Our experts can answer ...
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 ...
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
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,...