Question: 1. Let a = (2, -1) and b = (1, 3). a. (3 pts) Compute a - 2b. b. (3 pts) Use the triangle rule

1. Let a = (2, -1) and b = (1, 3). a. (3 pts) Compute a - 2b. b. (3 pts) Use the triangle rule to illustrate a - 2b. 2. Consider the points, A(4, 1,0) and B(-2, 5, 3). a. (3 pts) Write the component form of the vector AB. b. (3 pts) Express v in terms of the standard basis vectors (i, j, and k). c. (3 pts) Write a unit vector with the same direction as v. 3. (6 pts) Which of the two sets of points lie on a straight line? Justify your answer. (1) A(2.4,2), B(4,8.-2) and C(3,6,0) (ii) A(2,4,2), B(4,8,-2) and D(6,12,0)

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