Multiplicative Vector Problems These problems share the same set of vectors (and the same as the previous exercises). Remember that while there are two angles between any two vectors placed tail to tail (their sum is 360"), the smaller of the two angles is what's defined as 8 in the scalar formulas for the dot and cross products. These questions are designed to be straightforward if you were successful in the previous lab exercise where you identified the information to be used in the scalar formulas for the dot and cross products. À = 1.200 m (8) + 3.90 m (ŷ) B = 4.000 m (- 8) + 5.60 m (§) C = 1.200 m (?) + 140.00 ° (Ô) 1) Compute the dot product À ·B. Numerical entry problems like this one require you to input an answer instead of selecting from a multiple choice list. In the numerical entry field, report the magnitude only (just the number associ- ated, do not report the unit). Thus, if you determine the answer here is A= 9.17345 m², enter 9.12345. Unless you are asked to convert your answer to some non-standard unit for reporting, the system wll always expect the magnitude you enter to be in course standard units for whatever the quantity is (lengths are in meters, masses are in kilograms, etc.). Because there are several ways to do the prob- lems, it doesn't make sense to try to use this system to check significant figures for numerical entry problems (one way may generate four sf and another may generate three and so on). To ensure a correct answer is marked as such, always include more digits than are significant to avoid rounding issues. You do not need to obtain the exact answer I coded in to get credit, but the tolerances on the answers are tight enough that any carelessness with prematurely rounding numbers can cause a problem that is done correctly to give an incorrect answer. 2) Compute the dot product A Č. 3) Compute the dot product · B.
Multiplicative Vector Problems These problems share the same set of vectors (and the same as the previous exercises). Remember that while there are two angles between any two vectors placed tail to tail (their sum is 360"), the smaller of the two angles is what's defined as 8 in the scalar formulas for the dot and cross products. These questions are designed to be straightforward if you were successful in the previous lab exercise where you identified the information to be used in the scalar formulas for the dot and cross products. À = 1.200 m (8) + 3.90 m (ŷ) B = 4.000 m (- 8) + 5.60 m (§) C = 1.200 m (?) + 140.00 ° (Ô) 1) Compute the dot product À ·B. Numerical entry problems like this one require you to input an answer instead of selecting from a multiple choice list. In the numerical entry field, report the magnitude only (just the number associ- ated, do not report the unit). Thus, if you determine the answer here is A= 9.17345 m², enter 9.12345. Unless you are asked to convert your answer to some non-standard unit for reporting, the system wll always expect the magnitude you enter to be in course standard units for whatever the quantity is (lengths are in meters, masses are in kilograms, etc.). Because there are several ways to do the prob- lems, it doesn't make sense to try to use this system to check significant figures for numerical entry problems (one way may generate four sf and another may generate three and so on). To ensure a correct answer is marked as such, always include more digits than are significant to avoid rounding issues. You do not need to obtain the exact answer I coded in to get credit, but the tolerances on the answers are tight enough that any carelessness with prematurely rounding numbers can cause a problem that is done correctly to give an incorrect answer. 2) Compute the dot product A Č. 3) Compute the dot product · B.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you please do all of them. Thank you
Transcribed Image Text:5) Compute the magnitude of the cross product | Â*Ĉ |.
6) Compute the magnitude of the cross product |CxB |-
Questions 7-10 share the same set of answers:
A) +â
B) -R
C) +9
D) -ý
E) +2
F) -2
G) the correct answer is not on this list
7) What is the vector direction appropriate to the cross product »B?
8) What is the vector direction appropriate to the cross product À» Ĉ?
9) What is the vector direction appropriate to the cross product Ĉ × B?
10) What is the vector direction appropriate to the cross product Bx Â?
Transcribed Image Text:Multiplicative Vector Problems
These problems share the same set of vectors (and the same as the previous exercises). Remember
that while there are two angles between any two vectors placed tail to tail (their sum is 360"), the
smaller of the two angles is what's defined as e in the scalar formulas for the dot and cross products.
These questions are designed to be straightforward if you were successful in the previous lab exercise
where you identified the information to be used in the scalar formulas for the dot and cross products.
À= 1.200 m (8) + 3.90 m (ŷ)
B = 4.000 m (–8) + 5.60 m (ŷ)
C=1.200 m (7) + 140.00 ° (Ô)
1) Compute the dot product À-B.
Numerical entry problems like this one require you to input an answer instead of selecting from a
multiple choice list. In the numerical entry field, report the magnitude only (just the number associ-
ated, do not report the unit). Thus, if you determine the answer here is A= 9.17345 m, enter 9.12345.
Unless you are asked to convert your answer to some non-standard unit for reporting, the system will
always expect the magnitude you enter to be in course standard units for whatever the quantity is
(lengths are in meters, masses are in kilograms, etc.). Because there are several ways to do the prob-
lems, it doesn't make sense to try to use this system to check significant figures for numerical entry
problems (one way may generate four sf and another may generate three and so on). To ensure a
correct answer is marked as such, always include more digits than are significant to avoid rounding
issues. You do not need to obtain the exact answer I coded in to get credit, but the tolerances on the
answers are tight enough that any carelessness with prematurely rounding numbers can cause a
problem that is done correctly to give an incorrect answer.
2) Compute the dot product À Č.
3) Compute the dot product C - B.
4) Compute the magnitude of the cross product [Ax B| (just the number, we'll do
the direction later).
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