Outcome #2 Determine the surface area of the square based pyramid with vertices as shown on the diagram using your knowledge of vectors. D (0,-8, 0) A (8, 0, 0) P (0, 0,8) C(-8,0,0) B (0,8,0)

Q: Determine the geometric location of the points in R3 that equidistant from the plane y = 3 and the…

A: This is question of 3d geometry and locus.

Q: Find an equation of the plane that passes through (2, –1, 5) and is parallel to the plane containing…

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Q: Write the equation of a sphere that has a center at C(2, 5,-3) and contains points D(4, 1, 1) on the…

A: Given Data: The centre of the sphere is: C(h, j, l)=C(2, 5, -3) The point at the edge of the sphere…

Q: Find the projection of the point (-8,2,3) onto the zz-plane.

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Q: Outcome #2 Determine the surface area of the square based pyramid with vertices as shown on the…

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Q: Q5 Is it possible to construct a sphere that pass through the following points? (a) {(0,1, 2, ),…

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Q: Find the equation of the plane through the point P=(5,2,5) and parallel to the plane 2y−4x−z=9. z=

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Q: 7. Find the equation of the plane passing through the points (1, 1, 2), (3, –1,6) and (5, 2,0).

A: To find the equation of the plane passing through the given points

Q: If f(x)=14-x^(2) and g(x)=\sqrt(x+31), compute g(f(3)). Simplify your answer as much as possible.

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Q: Find the equation of the plane containing the points (1,1,−2),(1,2,1),(−1,2,−2)

A: The equation of plane containing the points 1,1,-2, 1,2,1, and -1,2,-2 is to be evaluated.

Q: Find the plane that contains:  P1(-1,1,-2), P2(-2,2,4),P3(0,2,-2)

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Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

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