Find the volume of the parallelepiped determined by the vectors a =i+3j-k, b= 4i+j-2k and c= - = -2j+5k O 51 O 66 O 71 62 41

Q: Find the volume of the parallelepiped determined by the vectors c č = (2, 4, 1). %3D

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Q: What is a parallelepiped? What is meant by the parallelepiped determined by the vectors u, v, and w?…

A: A prism, made of parallelograms; a polyhedron with six faces, each of which is a parallelogram.  The…

Q: Find the volume of the parallelepiped determined by the vectors a = (5, 2, – 1), b = (0, 4, 1), č =…

A: We will find the volume of the parallelepiped by using the given vectors.

Q: Find the volume of the parallelepiped determined by the vectors u = (1,2,-3), v = (2,4,-1), and w=…

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Q: Find the volume of the tetrahedron spanned by the vectors u = 13 (4,0, 8), v = (0,2, 3), and w = (0,…

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Q: Find the volume of the parallelepiped determined by the vectors = (1, 2, 3), b = (3, 0, 6) and c =…

A: This question is related to vectors, we will solve it by using the formula of volume of…

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

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. а 3 (6, 2, -2), ь 3 (о,…

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Q: find (a) the area of the parallelogram determinedby vectors u and v and (b) the volume of the…

A: The area of the parallelogram determined by the vectors u and v is A=u×v. Given u = i + j and v = j.…

Q: Find the volume of the parallelepiped determined by the vectors ā = (5, 4, – 1), b = (0, 1, 4), č =…

A: Given query is to find the volume of the parallelopiped.

Q: Find the volume of the parallelepiped defined by the vectors 37 2 1 2 3.

A: Introduction: The volume of parallelepiped that defines by the vectors a, b, and c is given by,…

Q: B. Explain with sketch how can calculate the volume of parallelepiped by three vectors?

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 Ju. (v x w)| to determine…

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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…

A: To find the volume of the tetrahedron whose vertices P , Q , R and S are given .

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c: a =, b =, c =.

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Q: Find the volume of the parallelepiped determined by the vectors a č = (2, 4, 1). (3, 5, – 1), 6 =…

A: The volume, V , of a parallelepiped is calculated using the scalar triple product, V=c·(a×b) . Use…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: To find:- volume of the tetrahedron with vertices P(-4, 4, 0), Q(2, 1, -3), R(1, 0, 1) and…

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: Find the volume of the parallelepiped determined by the vectors a = (2; 1; 1), b = (3; 0; 1) and c =…

A: Given a→=(2;1;1)b→=(3;0;1)and c→=(1;1;2)we find volume oF parallele piped

Q: Find the volume of parallelopiped formed by the vectors , and

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Q: 29. Find the volume of the parallelepiped PQRS if the vectors V(PQ). V(PR), and V(PS) are,…

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 1, 2, 4   b = −1,…

A: First find cross product of b and c and take dot product with a

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

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Q: Find the volume of the parallelepiped determined by the vectors ?, ?, and ?.   a= i + j,   b= j +…

A: a=  i + j+ 0k b= 0i + j + k c= i + j + k  The required volume is [a b c]=110011111 =1111-0111…

Q: 9. Find the volume of the parallelepiped defined by the vectors. [8, – 3,4]v = [-2,9, 1] w = [0, –…

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Q: find (a) the area of the parallelogram determinedby vectors u and v and (b) the volume of the…

A: The vectors u, v, and w. u=i+j-k,v=2i+j+k,w=-i-2j+3k.

Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: To find the volume of the parallelepiped formed by given vectors.

Q: 1. Find the volume of the parallelepiped PQRS if the vectors V(PQ),v(PR), and v(PS) respectively 31…

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Q: Find the volume of a parallelepiped spanned by vectors from the origin to the three points (1, 1,…

A: For any given three points A,B and C, area of parallelepiped is given by [A . (B X C)].

Q: Find the volume of the parallelepiped defined by the vectors 3 -3 -5 2 -3 Volume: %3D

A: Given:The given vectors are a=(3,-3,-3), b=0,-5,1,c=0,2,5To find:The volume of…

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

A: We will use the given formula of volume to find the volume of the tetrahedron.

Q: Find the volume of the parallelepiped defined by the vectors 5 5 5 ne =

A: To find: The volume of parallelepiped defined by three vectors 0-15, 55-3 and 5-4-2. Concept used:…

Q: 2. Determine the volume of the parallelepiped formed by the following vectors (a) ā = (2, –6, 2), 5=…

A: To findvolume of parallelpipedmethod:volume of  parallelpiped=a→b→c→a→b→c→=a1a2a3b1b2b3c1c2c3here…

Q: 5) Find the volume of the parallelepiped defined by vectors u = [1, -3, 6], v[-2, 5, 6] & w = [1, 2,…

A: Calculating the volume of parallelepiped

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: Find the volume of the parallelepiped determined by the vectors a i+2j-k, b 3i+j-4k and e= -2j+5k. O…

A: The parallelepiped is formed by the vectors, a→= i + 2 j - kb→= 3 i + j - 4 kc→= -2 j + 5 k  volume…

Q: Find the volume of the parallelepiped defined by the vectors: a= (3, -1, 1), b= (4,0,2) and c=…

A: Given are the vectors  a= (3, -1, 1), b= (4,0,2) and c= (-1,-2,-3) The objective is to find the…

Q: Find the volume of the parallelepiped determined by the vectors (0, 4, 5), (2, 0, 5), and (-1, 3,…

A: Volume of parallepiped is (a X b).c

Q: Find the volume of the parallelepiped defined by the vectors 2 4 -4 -2 4 3.

A: We have to find volume

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

A: To find out the volume of the tetrahedron whose vertices are given.

Q: Find the volume of the parallelepiped determined by the vectors a = (1, 2, 3), b = (3, 0, 6) and c =…

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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: Find the signed volume of the slanted box in R“ generated by the vectors 27 11 11 -2 3 , U2 = V3 =…

A: Form a matrix of the given vectors, A=v1v2v3v4=0-2-1-12-1-236-10-23030 The volume of the slanted box…

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

A: answer is following-

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: This is the problem of vector algebra.

Q: 9. Find the volume of the parallelepiped defined by the vectors. [8, – 3,4] [- 2,9, 1] w = [0, – 4,…

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Q: 6-Determine the volume of the parallelepiped formed by the vectors U= [2,1,3], v= [1, -4,2] and w=[…

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