References per topic: VECTORS PRE-CALC

	07.01 What is a vector?Honors Segment: 2
	07.02 How are vectors written?Honors Segment: 2
	07.03 What vector operations can be applied?Honors Segment: 2
	07.04 How are vectors multiplied?Honors Segment: 2
	07.05 Vectors Mid-Module CheckHonors Segment: 2
	07.06 Can vectors change size?Honors Segment: 2
	07.07 Why are vectors useful?

Question 1(Multiple Choice Worth 3 points) (07.01 LC) Vector u has initial point P at (0, 0) and terminal point Q at (5, -8). What are the component form and magnitude of u? Ou= (5,-8); u =-V89 Ou= (5,8); u|=-V89 Ou= (5, -8); u = V89 Ou= (5,8); u = V89(07.03 MC) Given r = 6i - 7j and s = -7i + 4j, what is r + s? 13i - 11j O-13i + 11j Oi + 3j O-i - 3j Question 3(Multiple Choice Worth 3 points) (07.02 MC) Which of the following represents vector w = 35i - 12j in trigonometric form?Question 3(Multiple Choice Worth 3 points) (07.02 MC) Which of the following represents vector w = 35i - 12j in trigonometric form? w = 37(003 18325\Question 4(Muniple Choice Worth 3 points) (07.02 MC) Vector u has an initial point at (5, 2) and a terminal point at (-7, 9). Which of the following represents u in trigonometric form? n = 728(005 74.055\"i + sin 74.055j) u = 7.28(cos105.945i+ sin 105l945j) u = 7,28(sin 74,055'i + cos 74.055j) u = 7,28(sin 105.945i + cos 105.945j) 1:1 \fU Quesllon 6(Multiple Choice Worth 3 points) (07.01 MC) Which of the following vectors has a magnitude of J3: and a direction of 9 = 210.964"? 0 u = (4.4) O u = (4,4) 0 u = (4,5) Question 7(Multiple Choice Worth 3 points) (07.04 MC) Given u = -8i - 3j and v = -12i - 7j, what is projvu? O-4.845i - 1.819j O-7.275i - 4.244j O-7.8861 - 2.957j O-11.828i - 6.900jQuestion 8(Multiple Choice Worth 3 points) (07.02 LC) Vector v is shown in the graph. 10 9 10 11 Which of the following represents the linear form of v? Ov= -5i - 9j Ov= -9i - 5j Ov = 5i + 9j Ov = 9i + 5jQuestion 9(Mulliple Choice Worth 3 points) [[3 (07.03 MC) Parallel vectors are shown in the graph. Which of the following vectors is equal to -2v? \fQuestion 11 (Essay Worth10 points) (0702, 0103 HC) Vectors u and v are shown on the graph. n 1231 C1It|uuuuulsun Part A: Write u and v in component form. Show your work. (3 points) Part B: Find u + v. Show your work. (2 points) Part C: Find 5u - 2v. Show your work. (5 points) [D Question 12 (Essay Worth 10 points) Question 35 (Essay) Group 1 (07.04 HC) Vectors u = 2(cos 30i + sin30i), V = 6(005 225i + sin225i), and w = 8(005 120i + sin120j) are given. Use exact values when evaluating sine and cosine. Part A: Convert the vectors to component form and find -7(u ' v). Show every step of your work. (4 points) Part B: Convert the vectors to component form and use the dot product to determine if u and w are parallel, orthogonal. or neither. Justify your answer. (6 points) Q Add Audio .1 Add \\deo 1