1) Identify each of the following statements as true (T) or false (F). (K 6 marks) The vectors E and 5E are parallel. Two vectors in R3 are always coplanar. In R2, if [i and i3 are non-zero, non-collinear vectors, then any vector F; can be expressed as a linear combination of [E and L7 in only one way. The set of vectors {(3, 2),(3, 2)} spans R2. For the points A(-5, 2, 0) and 3(9, 2, 14), E4 = (14, 0, 14) If v=f2j+3i2,then 17 =J 2) The vectors a} and i; are shown on the right. For each of the given \ a vector operations, write the letter of the corresponding vector shown below. (K 6 marks) a\\l// A iza= ) _ 2 _ iv) .r.1= v) tat17: vi) v= 3) In the rectangular prism below, P is the midpoint ofAD and Q is the midpoint of EF. State an expression equal to each of the following in terms of :17 , 17 and 171?- . (A 6 marks) F my}. tag5 c) +EE 4) For vectors hand 5 shown below, sketch 353 5. Be sure to label your sketch. 2 (A 2 marks) _, g P. 5) Consider the vectors LT: = (7,4, l) and 17 = (BIL6). (A 4 marks) a) Determine a vector equivalent to 4;? 17 . E b) Express :17 as a linear combination of the vectors :7, F and I: . c) Determine the exact value of l+ 17| . d) State a vector that is perpendicular to E