2. Consider the following three vectors (a) (b) 2 0 3 if: 1 , 17: 3 and IE: 2 1 3 1 Show that 11', if and 13 are not all coplanar (Le. that they do not all he in the same plane). Calculate the cosine of the angle between '5' and the line segment from A(1,4, 1) to 3(3, 1,2). Express your answer in exact form, but estimate the value of the angle itself. Calculate the projection of 11' 31? onto 13 and the component of 11' 3'17 that is orthogonal to 13. Express your answers in exact form, and explicitly check that both components are orthogonal to each other. Evaluate (1? 313') x 13 and check that the result is orthogonal to both I? 317 and :3. Explain what is wrong with the expressions: (i) (-')+13. (ii) xxz