1. Compute the determinants of the following matrices or state why it is not possible. Be sure to show the steps you take to perform the computation. 1 HON) MOIt C: II lI 1 5 2. Use determinants to establish whether the points (2, 1), (1, 2) and (1, 1) are co-linear. 3. Use determinants to nd an equation for the line in R2 that passes through the points (2,1) and (1,1). 4. Let a = (2,1,3) and e: (0, 1,2) (a Find the vector ((1, b, c) obtained by 217' 311' (b Determine the magnitude of the vector you found in part (a). (c Find the unit vector in the same direction as the vector you found in part (a). q (e Determine 17' - u _. (f Determine u x if _. ) ) ) ((1) Determine if - 13' ) ) (g) Determine 'U x {If 5. Find an equation for the plane in R3 that passes through the points (2,1, 2), (3,0, 2) and (1,1, 2)