Calculate the area of the parallelogram which is bounded by two vectors given as www ā = (x, y,z), where x,y, z represent the last three digits of your index number as before and vector b = (- 2,8,-3). {Index number = (********028)} 3.

Q: Write down the equations of any two distinct planes with normal vector n = 〈3, 2, 1〉that do not pass…

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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.

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

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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: State two important features for a set of orthonormal vectors

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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: 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 a unit vector n that is normal to the surface 2z^2−x^4−y^4=1 at P=(1,2,3) that points in the…

A: We have

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 a č = (2, 4, 1). (3, 5, – 1), 6 =…

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Q: Find an equation of the plane through (1, −3, 5) with normal vector n =〈2, 1, −4〉.

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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: Find an equation of the plane passing through the point (1,4,2) with a normal vector of the form n=…

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

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Q: 5. Calculate the area of the parallelogram formed by the vectors (4, 10, 9) and (3, 1, -2).

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Q: fx and y are two n-vectors, then prove that 1 1 -+-=1 (Holder inequality) (b) xy, <,, (Schwarz…

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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: Find the area of the parallelogram that has the given vectors u = ⟨2, −1, 0⟩,     v = ⟨−1, 2, 0⟩ as…

A: Given vectors as adjacent sides are u=2,-1,0, v=-1,2,0.

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-&lt;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: give two example of tangent vector on manifold

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Q: Find the component form of vector v. Intital point: (1,4) Terminal point: (-3,-1)

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

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Q: a particle moves in a plane so that it's velocity and position vectors are always orthogonal.show…

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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: 4

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Q: Find the volume of the region defined by the vectors. 7 -2

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Q: 4. Find an equation for the plane through (1, 3, 4), with normal vector .

A: topic- equation of plane with point and normal vector

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

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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: Find two orthogonal vectors in the plane x + y + 2z = 0. Make them orthonormal.

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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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