MCV4U - Unit 6 - Unit TEST Unit 6 - Introduction to Vectors 1. [12 Marks]. The diagram below represents a rectangular prism. State a single vector equal to each of the following. a. RQ+ RS b. RQ + QV c. PW + WS d. (RQ+ RS) + VU R U V W T S e. PW VP f. PW+WR + RQ 2 [8 Marks].. ABCD is a parallelogram. If AB = x and DA = terms of x and y. (a) BC (b) DC (c) BD (d) AC , express each vector in 3. [8 Marks]. The vectors a and b are given below. Use these vectors to sketch each of the following: a. 13 1 + 13 b. - 26 c. -b + a d. b + a 2 4. [6 Marks]. In the following diagram, the point P(6, 2, 4) is located in R. What are the coordinates of A, B, C, D, E, and F? D P(6, 2, 4) O(0,0,0) 5. [3 Marks]. The points A(5, b, c) and B(a, -3, 8) are located at the same point in R. What are the values of a, b, and c? 6. [6 Marks]. Calculate the values of a, b, and c in each of the following: a. 2(a, b, 4) + (6, 8, c) 3(7, c, 4) = (24, 3, 25) b. 2 ( a, a, za) + (3b, 0, 5c) + 2(c, - 2 (c, c,0) = (3,-22, 54) 7. [4 Marks]. Given p = (-11,7), q = (3,1), and 7 = (-1,2), express vector as a linear combination of the two other vectors ( p and q).