3. Let 7: R3 - R' be the transformation given by orthogonal projection onto the line y = mr. where m is a constant. (a) (1 point) Use geometric reasoning to find im(T). (b) (1 point) Use geometric reasoning to find ker(T). (c) (3 points) By thinking of T as a composition of linear transformations (as in class), 1 m show that the matrix of T is m+1 m m2 (Hint: If e is the angle that the line y = mr makes with the positive r-axis, then what are cos(0) and sin(8) in terms of m?) (d) (1 point) Use your answer to part (c) to find the projection of the vector onto the line y = 2c