Q1) Consider a uniform solid rectangular block of mass m and dimension 2ax2bx2c. Find the equation of the momental ellipsoid for a corner O of the block, referred to the edges through O as co-ordinates axes and hence determine M.I. about OP, where P is the point diagonally opposite to O

Q: Q.2)(A) Find a formula for the area of the triangle in the xy-plane with vertices at A(0, 0), B(a1,…

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Q: Give a scalar equation for a plane at distance 9 from the plane P with equation 2x+y+2 = 4 0=0

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Q: Derive the relationship between the parameters of the ellipsoid, a and b, and the flattening, f.

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Q: Let H be the segment of the hyperbola x-y°= | Connecting (1,0) to (2, J3). Evaluate the line,…

A: Given  H be the segment of hyperbola x2-y2=1 connecting the points (1,0) to (2,3)  we have to…

Q: 219. The diagram at right shows a rectangular solid, two of whose vertices are A = (0, 0, 0) and…

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Q: a) The equation of the unit sphere of three-dimensional space is X²+Y²+Z² = 1. The variables are…

A: (a) The equation of a unit sphere centered at the origin is given by X2+Y2+Z2=1. The variables are…

Q: hat is the scalar equation of the xy plane?

A: Given query is to find the scalar equation of the XY plane.

Q: Solve for the centroid coordinate

A: Solve for the centroid coordinate

Q: Consider the matrix A = 1 5 10 9 7 4 8 9 2 -2 4 5 0 -6 2-4 3 3 1 2 8 2 4 7 -3 -6 3 6

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Q: Give a acalar equation for a plane at distance 6 from the plane P with equation x+2y+2z = 5. 0-0

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Q: The upper half of the unit sphere x2+y2+z2=1 is z=Square root of 1-x2-y2. Find its centroid

A: Solution Given The intersection gives z2=1-x2+y2we need to find the centroid

Q: Find the equations of all spheres in R 3 of radius R = 3 passing through the point (7 ,8, 9) that…

A: To find the equation of spheres Given that, from the question  Radius R = 3  with Passing through…

Q: Let S be the hyperboloid of Cartesian equation x² + y² - 2² = 1 and p = (1,0,0). a) Find two…

A: Note the following facts : (i) Every intersection with a plane of symmetry is a Geodesic . (ii)…

Q: Give a scalar equation for a plane at distance 6 from the plane P with equation 2x+y-2z = 5. 0=0

A: We find the scalar equation for a plane at a distance 6 from the plane P with equation 2x+y-2z=5.

Q: Calculate |E F.dr, where F(aа, у) — (2? —Зу)і+(ye®)j and the сurve and curve ' is the parabola х %3D…

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Q: Find an equation of a line tangent the circle

A: In this question, we need to find the parameterization of the curve and then find the tangent vector…