Question: Please answer the following questions Problem N4 (a). The vector U = (a, 1, 2) is parallel to the plane c + 2y + 3z

Please answer the following questions

Problem N4 (a). The vector U = (a, 1, 2) is parallel to the plane c + 2y + 3z = 1 Find the norm | |U| | of the vector [Marks= 5] (b). Show that the normal vector to the plane 3r + 6y + 92 = 11 is an eigenvector of the matrix 2 10 and find the corresponding eigenvalue, [Marks= 5]

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