Find the volume of the parallelepiped determined by the vectors u = (1,2,-3), v = (2,4,-1), and w= (-5,3,2)

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 area of the parallelogram that has the vectors u = ⟨3, −1, 5⟩ and v = ⟨2, −4, 1⟩ as…

A: Now

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: Find a nonzero vector parallel to the line of intersection of the two planes 2y 5x - 3x = -5 and 5y…

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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 a unit vector perpen dicular to the plane of the vectors a = (2, -3,1) and b = (1, 2, -4)

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Q: Find two unit vectors that are normal to the plane determined by the points A (0, –1, 2),B (1,…

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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: Determine the volume of the parallelepiped whose sides are represented by the following vectors: Á =…

A: We need to find the volume of the parallelepiped . The formula for the volume of a  parallelepiped…

Q: Find the area of parallelogram with the vectors u = = (2, –2,0) and v = (0,–2,0) for sides.

A: The area of  parallelogram with vectors u=(2,-2,0)  and  v=(0,-2,0)  for sides is the cross product…

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 a nonzero vector parallel to the line of intersection of the two planes – (2x + 3y + z) = -2…

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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 volume of the parallelepiped spanned by the vectors below. u = [-3, –7,0] v = [5, –1, 7] w…

A: We can solve it by cross and dot product multiplications.

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

A:

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

A:

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (2, 5, 3), Q = (– 3, –…

A:

Q: The plane contains the point (2, −1, 6) and is normal to the vector <2, −1, 6>.

A: Given: A plane passes through the point 2, -1, 6 and normal to the vector 2i^-j^+6k^.

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

A:

Q: A parallelipiped is constructed using vectors (8.1,2.3,0), (9.5,2.0,0) and (7.3,-2.1,7.7), what is…

A: To find the volume of parallelepiped.

Q: What is the area of the parallelogram determined by the vectors v = (1, 3, 6) and w = (-1,0, 3)?

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Q: Compute the distance between the vectors u = and v = 315

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Q: Find projection of vector (0,1,0) into the line spanned by (0,1,0)

A: We have to find the projection of the vector (0,1,0) into the line spanned by (0,1,0).

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 area of the parallelogram that has the vectors as adjacent sides.u = (3, 2, −1), v = (1, 2,…

A: Now,

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

A:

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

A:

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: The volume of the parallel pipe formed by three vectors A, B, and C is 50 cubic units. if A(-2,6,3),…

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Q: Find the volurne of the parallelepiped determined by the vectors a, b, and c. a = (6, 3, -2), b =…

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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…

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

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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: Find two vectors v1 and vz whose sum is (-4, –4, 5), where vj is parallel to (1, 1, –2) while v2 is…

A: we have to find the two vectors v1→ and v2→ whose sum is -4,-4,5 where v1→ is parallel to 1,1,-2…

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

A:

Q: Find the area of the parallelogram that has the vectors u = (2, -1, 5) and v = (3, -4, 1) as…

A:

Q: Find the area of the parallelogram defined by the vectors (9,1) , (-5,5)

A:

Q: Find the magnitude of the projection of (- 5, 6) onto the vector (– 1, 0)

A: