Learning Goal: To use geometric and component addition of vectors. Four vectors A, B, C, and D are shown (not to scale). Vector A has magnitude 23.3 and acts at an angle of 16.9 degrees with respect to the positive x axis. Vector B has magnitude 11.5 and acts at an angle of 66.1 degrees with respect to the positive x axis. Vector C has magnitude 28.1 and acts at an angle of 145.7 degrees with respect to the positive x axis. Vector D has magnitude 13.0 and acts at an angle of 282.5 degrees with respect to the positive x axis. (Figure 1) C Part A - Geometric addition R, OR ec Op B D What are the magnitude and direction of the resultant vector, R. when the parallelogram law is applied to A and B? Express the magnitude to three significant figures. Express the angle to one decimal place, measured counterclockwise from the positive x axis. Separate your answers by a comma. ▸ View Available Hint(s) -X Ε| ΑΣΦ | 11 | vec It PRED ?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Part B - Component addition of vectors
What is the resultant vector, R., obtained by adding vectors C and D?
Express the magnitude to three significant figures. Express the angle to one decimal place, measured counterclockwise
from the positive x axis. Separate your answers by a comma.
► View Available Hint(s)
R, OR
=
Part C - Addition of more than two vectors
VE ΑΣΦ ↓↑ vec
Now we wish to add all four vectors. Attempting to do this using the parallelogram method is difficult because that method is
optimized for two vectors. It is much easier to use vector components when there are more than two vectors being added. For the
vector sum R=A+B+C+D, what are the magnitude and direction of the resultant R?
R, OR
Express the magnitude to three significant figures. Express the angle to one decimal place, measured counterclockwise
from the positive x axis. Separate your answers by a comma.
▸ View Available Hint(s)
=
?
VE| ΑΣΦ ||1 vec
?
The
I'm
QB I U
В
O
Transcribed Image Text:Part B - Component addition of vectors What is the resultant vector, R., obtained by adding vectors C and D? Express the magnitude to three significant figures. Express the angle to one decimal place, measured counterclockwise from the positive x axis. Separate your answers by a comma. ► View Available Hint(s) R, OR = Part C - Addition of more than two vectors VE ΑΣΦ ↓↑ vec Now we wish to add all four vectors. Attempting to do this using the parallelogram method is difficult because that method is optimized for two vectors. It is much easier to use vector components when there are more than two vectors being added. For the vector sum R=A+B+C+D, what are the magnitude and direction of the resultant R? R, OR Express the magnitude to three significant figures. Express the angle to one decimal place, measured counterclockwise from the positive x axis. Separate your answers by a comma. ▸ View Available Hint(s) = ? VE| ΑΣΦ ||1 vec ? The I'm QB I U В O
Learning Goal:
To use geometric and component addition of vectors.
Four vectors A, B, C, and D are shown (not to scale). Vector A has magnitude 23.3 and acts at an angle of 16.9 degrees with
respect to the positive x axis. Vector B has magnitude 11.5 and acts at an angle of 66.1 degrees with respect to the positive x axis.
Vector C has magnitude 28.1 and acts at an angle of 145.7 degrees with respect to the positive x axis. Vector D has magnitude 13.0
and acts at an angle of 282.5 degrees with respect to the positive x axis. (Figure 1)
с
Part A - Geometric addition
R,OR=
=
OD
Oc
B
What are the magnitude and direction of the resultant vector, R., when the parallelogram law is applied to A and B?
Express the magnitude to three significant figures. Express the angle to one decimal place, measured counterclockwise
from the positive x axis. Separate your answers by a comma.
► View Available Hint(s)
[ΠΙ ΑΣΦ
D
ΑΣΦ | Η vec
X
******
?
Transcribed Image Text:Learning Goal: To use geometric and component addition of vectors. Four vectors A, B, C, and D are shown (not to scale). Vector A has magnitude 23.3 and acts at an angle of 16.9 degrees with respect to the positive x axis. Vector B has magnitude 11.5 and acts at an angle of 66.1 degrees with respect to the positive x axis. Vector C has magnitude 28.1 and acts at an angle of 145.7 degrees with respect to the positive x axis. Vector D has magnitude 13.0 and acts at an angle of 282.5 degrees with respect to the positive x axis. (Figure 1) с Part A - Geometric addition R,OR= = OD Oc B What are the magnitude and direction of the resultant vector, R., when the parallelogram law is applied to A and B? Express the magnitude to three significant figures. Express the angle to one decimal place, measured counterclockwise from the positive x axis. Separate your answers by a comma. ► View Available Hint(s) [ΠΙ ΑΣΦ D ΑΣΦ | Η vec X ****** ?
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