3. Consider the plane T' described by the equation 2x+y-32 = 5, the point A = (1,-1,1), and the sphere S of radius R>0 with the centre at A. (a) Find a normal vector to the plane T. Write a parametric equation for the line L through A, orthogonal to the plane T. (b) Find the cosine of the angle between the line L and the x-axis.