Exercise. 1. Find an equation of the plane passing through the point (-2, 8, 10) and perpendicular to the line 1=1+t, y = 2t and 2=4- 31. State both the scalar equation and the linear equation of the plane. (10 marks) 2. Find the length of the curve defined by the following vector-valued function r(t) = i+tj+ t'k, 0SIS1. (10 marks) 3. Let f(z,9) = In ry. (a) Find the local linear approximation L(1, y) to the f(z, y) at the point P(1, 2). (b) Use L(z, y) computed in (a) to approximate the value of f(1.01, 2.02). (e) Find the error of L computed in (b), with respect to the actual value of f(1.01, 2.02). (5+2+3 marks)