volume of the parallelepiped defined by the vectors v1 = (1, 3, 1), v2 = (2, 1, −1) and v3 = (1, 0, 1

Q: Find a vector of norm 1 that is orthogonal to the three vectors ü = (2,1,-4,0), v=(-1,-1,2,2),…

A: We have to find a vector of norm 1 which is orthogonal with the vectors u, v and w. Let a, b, c, d…

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: Determine the volume of the box whose sides are the vectors (1, -2, 1), (2, 3, -2), (-1, 3, -2)

A: use determinant method to findout the volume.

Q: 7- Determine the volume of the parallelepiped formed by the vectors u = [ 2,1,3] , v = [1,-4,2 ] and…

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Q: Find 3-dimensional vectors V₁, V₂, V, satisfying V₁V₁ = 4, ₁₂ = -2, V₁ V₂ = 6, V₂ V₂ = 2₁ V₂ V₂ =…

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Q: Find the volume of the parallelepiped with corresponding vectors 〈2,1,0〉,〈-1,2,2〉and〈0,-2,1〉

A: Let's find.

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

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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: Compute the volume of the parallelepiped dened by the vectors v1 = (1, 3, 1), v2 = (2, 1, -1) and…

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Q: compute the volume of the parallelepiped defind by the vectors v1(1,3,1) v2(2,1,-1) v3(1,0,1)

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Q: Find the volume of the parallelepiped determined by the vectors å = (3, 4, – 1), 6 = (0, 2, 1), c =…

A: The volume of the parallelepiped  determined by the vectors a, b and c is given by a·b×c or…

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: 12. Find the volume of the parallelepiped spanned by the vectors (1, 1, 2), (2,2, 1), and (0, –4,…

A: The given vectors 1,1,2, 2,2,1, 0,-4,0

Q: Find the volume of the parallelepiped determined by the vectors a = (3, 4, – 1), b = (0, 4, 2), с 3…

A: Given the vectors, a→=3,4,-1b→=0,4,2c→=2,5,1

Q: Find the volume of the parallelepiped with edges defined by the vectors u, v and w, where ü = (3,…

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Q: Find the components of the vector whose initial point is (2, 2, 4) and terminal point at (0, 2, 0).

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Q: Compute the volume of the parallelepiped defined by the vectors v1 and v3 = (1,0, 1). (1,3, 1), v2 =…

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Q: Compute the volume of the parallelepiped defined by the vectors v = (1,3, 1), vz = (2, 1, –1) and vz…

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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 determined by the vectors a c = (2, 3, 1). Volume =…

A: The volume is given by scalar triple product of vectors. a→=4,2,-1, b→=0,3,2,c→=2,3,1

Q: 7- Determine the volume of the parallelepiped formed by the vectors u = [ 2,1,3], v = [1,-4,2 ] and…

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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: Find a vector of length 5 that is orthogonal to both vectors ⟨4,−1,0⟩ and ⟨−3,2,−1⟩

A: The vector orthogonal to two vectors u,v is = ± (u×v)/ |u| |v| Here u =  ⟨4,−1,0⟩ , v =…

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: Calculate the area of the parallelogram which is bounded by two vectors given as www ā = (x, y,z),…

A: Calculate area

Q: Find the volume of the parallelepiped defined by the vectors 2 -4 2 -5 -3 Volume =

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Obtain a set of orthonormal vectors by Schmidt method: u = (1, 1,0,1), uz = (2,0,0, 1), uz (0, 2,3,…

A: According to gram Schmidt method  orthogonal vectors can be obtained as: x1=u1x2=u2-<u2,…

Q: Compute the volume of the parallelepiped defined by the vectors v1 = (1,3, 1), v2 = (2, 1, – 1) and…

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Q: Determine the volume of the parallelepiped formed by the vectors P = (2,4,3), Q = (1,3,2) and R=…

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Q: Find the volume of the parallelepiped divined by the vectors  [5]   [0]  [4] [3],  [4], [-1] [-1]…

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Q: Compute the volume of the parallelepiped defined by the vectors vị = (1,3, 1), v2 = (2, 1, – 1) and…

A: Given that three sides of the parallelepiped are: v1 = (1,3,1) , v2=(2,1,-1) , v3=(1,0,1) So the…

Q: Find two unit vectors orthogonal to both (6, 9, 1) and (-1, 1, 0). (vector with the smaller…

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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: 8. Show that the cross product u x v of the vectors u = (-3, 5, -4) and v = (-3, -5, -5) is…

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

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Q: Compute the volume of the parallelepiped defined by the vectors vi and v3 = (1,0, 1). (1, 3, 1), v½…

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Q: Compute the volume of the parallelepiped defined by the vectors vi = and vz = (1,0, 1). (1, 3, 1),…

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Q: (i) Compute each Ax by dot products of the rows with the column vector: (a) 2 1 1 2 3 [10 2 1 1 2 3…

A: Since, you have asked two questions, we are attempting only the first question for now. If you want…

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, 0, -2), (2, 3, 4) is

A: We will solve the problem

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

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Q: Let u, = (1,1,1)", u2 = (1,2,2)T and uz = (2,3,4)", find the coordinates of the vectors (2,3,2)" and…

A: Solving by linear combination method

Q: Compute the volume of the parallelepiped defined by the vectors v1 = (1,3, 1), v½ = (2, 1, –1) and…

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Q: Find the volume of the parallelepiped determined by vectors , and

A: Find the volume of the parallelepiped determined by vectors <3,1,4>, <2,0,2> and…

Q: Compute the volume of the parallelepiped defined by the vectors v = (1,3,1), v2 = (2, 1, -1) and v3…

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Q: 9. Use the cross product and determine the volume of the parallelepiped generated by the three…

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges given…

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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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Q: Let v, ..., v, be vectors, and suppose that a point mass of m,..., m, is located at the tip of each…

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Q: Find a nonzero vector parallel to the line of intersection of the two planes 4x-2y+z=-1 and…

A: Answer