Find the volume of a parallelepiped if the defining vectors are 𝐀=3 𝐢-2 𝐣+4 𝐤, 𝐁=2 𝐢+𝐣-2 𝐤, and 𝐂=3 𝐢-6 𝐣-2 𝐤. | Numerade

Volume of parallelepiped. A parallelepiped has edges described by the vectors 𝐱̂+2 𝐲̂, 4 𝐲̂, and ŷ+3 𝐳̂ from the origin. Find the volume. | Numerade

Show that (𝐁 ×𝐂) ·𝐀 is the volume of the parallelepiped, with edges formed by the three vectors in the following figure. | Numerade

Find the volume of the parallelepiped determined by the position vectors 𝐮=⟨3,1,0⟩, 𝐯=⟨2,4,1⟩, and 𝐰=⟨1,1,5⟩(see Exercise 63 ). | Numerade

Find the volume of the parallelepiped with adjacent edges PQ, PR , and PS . P (3, 0, 1) , Q (-1, 2, 5) , R (5, 1, -1) , S (0, 4, 2) | Numerade

Find the volume of a parallelepiped if four of its eight vertices are A ( 0,0,0 ) , B ( 1,2,0 ) , C ( 0 , - 3,2 ) , and D ( 3 , - 4,5 ) | Numerade

Find the volume V(S) of the parallelepiped S in 𝐑^3 determined by the vectors: (a) u1=(1,1,1), u2=(1,3,-4), u3=(1,2,-5) (b) u1=(1,2,4),

Find the dimensions of the parallelepiped of maximum volume circumscribed by a sphere of radius R. | Numerade

Using the parallelogram in Problem 44 as a base, create a parallelopiped with side P1 P5 where P5=(1,0,4) Find the volume of this parallelepiped. | Numerade

1}$ at one face of a parallelepiped is uniform over the entire face and is directed out of the face. At the opposite face, the electric field $\vec{E} - Numerade