Question Details SCalcET [ ] Question Details SCalcET [ ] Question Details SCalcET

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1 Vector Products I ( ) Due: Fri Jan :30 PM MST Question Instructions Notes and Learning Goals Things to think about: The dot and cross products both have two equivalent definitions: "Algebraic" involving only the components of the vectors, usually used for computation. "Geometric" involving magnitudes and angles, or represented by a picture. When working on problems, ask yourself which definition should you use, based on the information given in the problem. 1. Question Details SCalcET [ ] a = 9, 2, b = 3, 6 2. Question Details SCalcET [ ] 1 a = 4, 1,, b = 8, 3, Question Details SCalcET [ ] a = 4i + 3j k, b = 4i + 5k 4. Question Details SCalcET XP.MI. [ ] a = 4, 5, b = 0.7, 1.2

2 5. Question Details SCalcET [ ] a = p, p, 8p, b = 4q, q, q 6. Question Details SCalcET [ ] Find a b. a = 3, b = 4, the angle between a and b is Question Details SCalcET XP. [ ] a = 2, b = 7, the angle between a and b is 2π/3 8. Question Details SCalcET XP. [ ] Find the dot product of two vectors if their lengths are 20 and 1 5 and the angle between them is π Question Details SCalcET [ ] If u is a unit vector, find u v and u w. (Assume v and w are also unit vectors.) u v = u w =

3 10. Question Details SCalcET [ ] If a = 2, 1, 2 and b = 9, 2, 1, find the following. a b = b a = 11. Question Details SCalcET XP. [ ] Use the given vectors to answer the following questions. a = 4, 2, 2, b = 2, 2, 0, c = 0, 0, 5 (a) Find a (b c). a (b c) = (b) Find (a b) c. (a b) c = 12. Question Details SCalcET [ ] If a = i 2k and b = j + k, find a b. 13. Question Details SCalcET XP. [ ] Find the cross product a b. a = i + e t j + e t k, b = 7i + e t j e t k 14. Question Details SCalcET XP. [ ] Find the cross product a b. a = t, t 2, t 3, b = 1, 5t, 8t 2

4 15. Question Details SCalcET [ ] Find u v and determine whether u v is directed into the screen or out of the screen. u v = u v is directed into the screen. u v is directed out of the screen. 16. Question Details SCalcET XP. [ ] Consider the figure below, where u = 6 and v = 8. (a) Find u v. (b) Determine whether u v is directed into the screen or out of the screen. into the screen out of the screen 17. Question Details SCalcET XP. [ ] Consider the figure below, where u = 6 and v = 10. (a) Find u v. (b) Determine whether u v is directed into the screen or out of the screen. out of the screen into the screen

5 18. Question Details SCalcET [ ] Which of the following expressions are meaningful? Which are meaningless? Explain. (a) (a b) c (a b) c has Select because it is the dot product of Select. (b) (a b)c (a b)c has Select because it is a scalar multiple of Select. (c) a (b c) a (b c) has Select because it is the product of Select. (d) a (b + c) a (b + c) has Select because it is the dot product of Select. (e) a b + c a b + c has Select because it is the sum of Select. (f) a (b + c) a (b + c) has Select because it is the dot product of Select.

6 19. Question Details SCalcET [ ] State whether each expression is meaningful. If not, explain why. If so, state whether it is a vector or a scalar. (a) a (b c) (b) a (b c) (c) a (b c) (d) a (b c) (e) (a b) (c d) (f) (a b) (c d) Assignment Details Name (AID): Vector Products I ( ) Feedback Settings

7 Submissions Allowed: 10 Category: Homework Code: Locked: Yes Author: Skriletz, Jaimos ( jaimosskriletz@boisestate.edu ) Last Saved: Jan 3, :17 PM MST Permission: Protected Randomization: Person Which graded: Last Before due date Question Score Assignment Score Publish Essay Scores Question Part Score Mark Help/Hints Response Save Work After due date Question Score Assignment Score Publish Essay Scores Key Question Part Score Solution Mark Add Practice Button Help/Hints Response

Question Details Secant Formula 1 [ ]

13: Derivatives (6532783) Due: Mon Jan 19 2015 09:01 AM MST Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Instructions Read today's Notes and Learning Goals 1. Question Details Secant Formula 1 [2852835] An