Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v, and w. u = i +j j+ k w = i + k V = WE

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Q: Find the volume of the parallelepiped having adjacent edges u, v, and w; for u = (1,-1,0), v =…

A: Given u=1,-1,0, v=0,2,2 and w=1,3,1

Q: Find the volume of a parallelepiped whose edges are ä = 7i+5j-k, 6-j+4k and e= 4i-3j+6k %3D

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Q: ● Let u = 2-25 - 2k + ● and = 2î - 2Ĵ+k. Find a vector w such that the parallelepiped spanned by u,…

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Q: Consider the points A(3,-3, 2), B(6, -5,0), C(-1, –4,0), and D(6,3,-4). (a) Find the volume of the…

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Q: Given x+ y +z= 5 and Po(2,2,1), find the following. (a) Find the equation for the tangent plane at…

A: Here is the solution

Q: Consider the points A(2, –3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of…

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Q: (7x² +7x) dx

A: The objective is to evaluate the integration

Q: Consider the points A(1, -2,4), B(2, –4, 1), C'(-1, –3, 1), and D(3, 1, –5). (a) Find the volume of…

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Q: Find the volume of the parallelepiped determined by the vectors a =i+3j-k, b= 4i+j-2k and c= - =…

A: a=i+3j-k,  b=4i+j-2k  &  c=-2j+5k

Q: Find the volume of the parallelepiped spanned by the vectors i +j+ k, i –j+k and 3k.

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: A cube of cheese from Italy with edge measure of 1 was cut by Mickey using a plane in a manner that…

A: Let us assume the the cordinates OA= OB= OC= 1

Q: Consider the points A(2, –3, 4), B(4, -5, 1), C(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of…

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