Feedback — Vectors in 1D: Component RepresentationHelp You submitted this quiz on Mon 19 May 2014 11:04 PM CDT. You got a score of 34.71 out of 39.00. Some questions provided by Matter and Interactions (3rd. Ed.), R. Chabay & B. Sherwood. Copyright (2010, John Wiley & Sons). This material is used by permission of John Wiley & Sons, Inc. Question 1 A⃗ =⟨0,0,−900⟩ and B⃗ =⟨0,0,200⟩. Calculate the following: the x component of A⃗ +B⃗ Answer for Question 1 You entered: Your Answer Score 0 Correct Total 1.00 / 1.00 Question Explanation Answer : 0 Question 2 the y component of A⃗ 1.00 +B⃗ Ex Answer for Question 2 You entered: Your Answer Score 0 Correct Total Ex 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 3 the z component of A⃗ +B⃗ Answer for Question 3 You entered: Your Answer -700 Total Score Correct 1.00 1.00 / 1.00 Ex Question Explanation Answer : -700 Question 4 |A⃗ +B⃗ | Answer for Question 4 You entered: Your Answer 700 Total Question Explanation Answer : 700 Question 5 |A⃗ | Answer for Question 5 You entered: Score Correct 1.00 1.00 / 1.00 Ex Your Answer 900 Score Correct Total Ex 1.00 1.00 / 1.00 Question Explanation Answer : 900 Question 6 |B⃗ | Answer for Question 6 You entered: Your Answer 200 Total Question Explanation Answer : 200 Question 7 Score Correct 1.00 1.00 / 1.00 Ex |A⃗ |+|B⃗ | Answer for Question 7 You entered: Your Answer 1100 Score Correct Total Ex 1.00 1.00 / 1.00 Question Explanation Answer : 1100 Question 8 a⃗ =⟨0,6,0⟩ and b⃗ =⟨0,9,0⟩ , compute the x component of a⃗ −b⃗ . Answer for Question 8 You entered: Your Answer 0 Score Correct 1.00 Ex Total 1.00 / 1.00 Question Explanation Answer : 0 Question 9 Following the previous question, compute the y component of a⃗ −b⃗ . Answer for Question 9 You entered: Your Answer -3 Score 1.00 Correct Total 1.00 / 1.00 Question Explanation Answer : -3 Question 10 Following the previous question, compute the z component of a⃗ Answer for Question 10 You entered: −b⃗ . Ex Your Answer 0 Score Correct Total Ex 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 11 a⃗ =⟨0,0,−2⟩, compute the x component of a^. Answer for Question 11 You entered: Your Answer 0 Total Question Explanation Score Correct 1.00 1.00 / 1.00 Ex Answer : 0 Question 12 Following the previous question, compute the y component of a^. Answer for Question 12 You entered: Your Answer 0 Score Correct Total Ex 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 13 Following the previous question, compute the z component of a^. Answer for Question 13 You entered: Your Answer Score Ex 1 Incorrect Total 0.00 0.00 / 1.00 Question Explanation Answer : -1 Question 14 Any vector can be written as a unit vector multiplied by the magnitude of the vector (a positive scalar). What is the magnitude of the following vector? ⟨0,0,6⟩ Answer for Question 14 You entered: Your Answer 0,0,6 Total Question Explanation Answer : 6 Score Incorrect 0.00 0.00 / 1.00 Ex Question 15 Following the previous question, when ⟨0,0,6⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the x component of the unit vector? Answer for Question 15 You entered: Your Answer 0 Score Correct Total Ex 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 16 Following the previous question, when ⟨0,0,6⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the y component of the unit vector? Answer for Question 16 You entered: Your Answer Score Ex 0 Correct Total 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 17 Following the previous question, when ⟨0,0,6⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the z component of the unit vector? Answer for Question 17 You entered: Your Answer 1 Total Question Explanation Answer : 1 Question 18 Score Correct 1.00 1.00 / 1.00 Ex Any vector can be written as a unit vector multiplied by the magnitude of the vector (a positive scalar). What is the magnitude of the following vector? ⟨0,−681,0⟩ Answer for Question 18 You entered: Your Answer 0,681,0 Total Score Incorrect 0.00 0.00 / 1.00 Question Explanation Answer : 681 Question 19 Following the previous question, when ⟨0,−681,0⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the x component of the unit vector? Answer for Question 19 You entered: Ex Your Answer 0 Score Correct Total Ex 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 20 Following the previous question, when ⟨0,−681,0⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the y component of the unit vector? Answer for Question 20 You entered: Your Answer -1 Total Question Explanation Answer : -1 Score Correct 1.00 1.00 / 1.00 Ex Question 21 Following the previous question, when ⟨0,−681,0⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the z component of the unit vector? Answer for Question 21 You entered: Your Answer 0 Score Correct Total 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 22 Any vector can be written as a unit vector multiplied by the magnitude of the vector (a positive scalar). What is the magnitude of the following vector? ⟨0.00293,0,0⟩ Answer for Question 22 You entered: Ex Your Answer 0.00293,0,0 Score Correct Total Ex 1.00 1.00 / 1.00 Question Explanation Answer : 0.00293 Question 23 Following the previous question, when ⟨0.00293,0,0⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the x component of the unit vector? Answer for Question 23 You entered: Your Answer 1 Total Question Explanation Answer : 1 Score Correct 1.00 1.00 / 1.00 Ex Question 24 Following the previous question, when ⟨0.00293,0,0⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the y component of the unit vector? Answer for Question 24 You entered: Your Answer 0 Total Score Correct Ex 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 25 Following the previous question, when ⟨0.00293,0,0⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the z component of the unit vector? Answer for Question 25 You entered: Your Answer Score Ex 0 Correct Total 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 26 Any vector can be written as a unit vector multiplied by the magnitude of the vector (a positive scalar). What is the magnitude of the following vector? ⟨0,0,−6E6⟩ Note: please express your answer using scientific E notation. Answers in the form of a*b^c will be rejected. Answer for Question 26 You entered: Your Answer 0,0,6E6 Total Question Explanation Score Incorrect 0.00 0.00 / 1.00 Ex Answer : 6E6 Question 27 Following the previous question, when ⟨0,0,−6E6⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the x component of the unit vector? Answer for Question 27 You entered: Your Answer 0 Total Score Correct 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 28 Following the previous question, when ⟨0,0,−6E6⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the y component of the unit vector? Answer for Question 28 You entered: Ex Your Answer 0 Score Correct Total Ex 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 29 Following the previous question, when ⟨0,0,−6E6⟩ is written as a unit vector multiplied by the magnitude of the vector (a positive scalar), what is the z component of the unit vector? Answer for Question 29 You entered: Your Answer -1e0 Total Question Explanation Answer : -1 Score Correct 1.00 1.00 / 1.00 Ex Question 30 Which of the following are vectors? (Select all that apply). Your Answer Score −3×10−6 Correct 0.17 5×⟨0,0,−9.5⟩ Correct 0.17 0 Correct 0.17 ⟨0,0,−1⟩ Correct 0.17 ⟨0,0,−0.7⟩ Correct 0.17 3.5 Correct 0.17 Total 1.00 / 1.00 Question Explanation A single number is a scalar, not a vector. Answer : ⟨0,0,−1⟩ 5×⟨0,0,−9.5⟩ ⟨0,0,−0.7⟩ Question 31 Which of the following are vectors? (Select all that apply). Your Answer Score Ex ⟨rx,ry,rz⟩ Correct 0.14 r Correct 0.14 10r⃗ Correct 0.14 rx+ry+rz Correct 0.14 r⃗ 2 Inorrect 0.00 |r⃗ | Inorrect 0.00 a⃗ Correct 0.14 Total 0.71 / 1.00 Question Explanation Answer : a⃗ ,r⃗ 2,10r⃗ ,10r⃗ ,⟨rx,ry,rz⟩ Question 32 If a⃗ =⟨0,0,7⟩ then what is the x component of 6a⃗ ? Answer for Question 32 You entered: Your Answer Score Ex 0 Correct Total 1.00 1.00 / 1.00 Question Explanation Answer : 0 Question 33 Following the previous question, what is the y component of 6a⃗ ? Answer for Question 33 You entered: Your Answer 0 Score Correct Total Question Explanation Answer : 0 Question 34 Following the previous question, what is the z component of 6a⃗ ? Answer for Question 34 1.00 1.00 / 1.00 Ex You entered: Your Answer 42 Score Correct Total Ex 1.00 1.00 / 1.00 Question Explanation Answer : 42 Question 35 If a⃗ =⟨0,0,7⟩ then how does the magnitude of 6a⃗ compare to a⃗ ? Your Answer The magnitude of 6a⃗ is the same as the magnitude of a⃗ The magnitude of 6a⃗ is a factor of 6 greater than the magnitude of a⃗ . The magnitude of 6a⃗ is a factor of 6 less than the magnitude of a⃗ . The magnitude of 6a⃗ is zero. Not enough information given. Total Correct Question Explanation Answer : The magnitude of 6a⃗ is a factor of 6 greater than the magnitude of a⃗ . Question 36 If p⃗ =⟨0,0,3⟩, what is 5+p⃗ Your Answer This is a meaningless expression because a scalar cannot be added to a vector. ⟨0,0,15⟩ ⟨0,0,8⟩ ⟨0,0,0.60⟩ ⟨0,0,−2⟩ Total Question Explanation This is a meaningless expression because a scalar cannot be added to a vector. Question 37 a⃗ =⟨0,0,7⟩ and b⃗ =⟨0,0,−5⟩, compute a⃗ +b⃗ . What is the x component of a⃗ +b⃗ ? Correct Answer for Question 37 You entered: Your Answer 0 Score Ex 1.00 Correct Total 1.00 / 1.00 Question Explanation Answer : 0 Question 38 Following the previous question, what is the y component of a⃗ +b⃗ ? Answer for Question 38 You entered: Your Answer 0 Total Score Correct 1.00 1.00 / 1.00 Ex Question Explanation Answer : 0 Question 39 Following the previous question, what is the z component of a⃗ +b⃗ ? Answer for Question 39 You entered: Your Answer 2 Total Question Explanation Answer : 2 Score Correct 1.00 1.00 / 1.00 Ex