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 ?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.2: The Law Of Cosines
Problem 7PS
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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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