Given is the following plane: 3 -0-0)-() + 1 1 (s, t) = a) Show that (2, 0, 1)" is not a point of the plane. b) Give the plane in Hessian normal form. c) Where does the z-axis intersect the plane? -2 t

Q: A plane in R³ contains the point (-r, 0, 1) and has the vector (1,4,3r) as a normal, where r is a…

A: Explained above in detail.

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A: To solve this problem first of we find the equation of the plane π1 and π2 in standard form and then…

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Q: e) Plane that is parallel to the xy-plane that contains the point A(2, 1, 3) (ca

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Q: Find an equation for a plane R at a distance 9 from a plane P with equation 2x + 2y - z = 3 .

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