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- Exercise 1 Given are the following planes: plane 1: 3x4y+z = 1 0 plane 2: (s, t) = ( 2 ) + ( -2 5 s+ 0 ( 3 t 2 -2 a) Find for both planes the Hessian normal form and for plane 1 in addition the parameter form. b) Use the cross product of the two normal vectors to show that the planes intersect in a line. c) Calculate the intersection line. d) Calculate the intersection angle of the planes. Make a sketch to indicate which angle you are calculating.arrow_forward1. Let 2 (a, b, c)} be the sample space. (a) Write down the power set of 2. (b) Construct a σ-field containing A = {a, b} and B = {b, c}. (c) Show that F= {0, 2, {a, b}, {b, c}, {b}} is not a σ-field. Add some elements to make it a σ-field..arrow_forward13. Let (, F, P) be a probability space and X a function from 2 to R. Explain when X is a random variable.arrow_forward
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