Magnitude and direction of three vectors

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Maria Aneiros 5 years, 10 months ago

Created this as a copy of Find magnitude and direction of three vectors.

Name	Status	Author	Last Modified
Vector addition by summing scalar components - easy	Ready to use	William Haynes	08/03/2025 17:27
Find magnitude and direction of three vectors	Ready to use	William Haynes	01/01/2021 00:53
Vector addition by summing scalar components	draft	Marie Nicholson	04/02/2021 15:37
Timur's copy of Vector addition by summing scalar components	draft	Timur Zaripov	03/04/2019 11:16
Timur's copy of Find magnitude and direction of three vectors	draft	Timur Zaripov	03/04/2019 11:24
Timur's copy of Vector addition by summing scalar components - easy	draft	Timur Zaripov	03/04/2019 11:27
Magnitude and direction of three vectors	draft	Maria Aneiros	25/05/2019 02:07
Maria's copy of Find magnitude and direction of three vectors	Ready to use	Maria Aneiros	25/05/2019 02:19
Vector addition by summing scalar components - easy	draft	Xiaodan Leng	10/07/2019 22:01
Find magnitude and direction of three vectors	draft	Xiaodan Leng	10/07/2019 22:02
Vector addition by summing scalar components	draft	Chris King	12/07/2019 05:09
Demo of geogebra_file() not loading properly	draft	William Haynes	30/03/2025 02:21

There are 21 other versions that do you not have access to.

Question statement

Three forces, A, B, and C are drawn to scale of 1 square = {scale} units. Find the magnitude and direction of each.

{geogebra_applet('qdbwtfa9', [['fa',FA],['fb',FB],['fc',FC]])}

Give any introductory information the student needs.

			Name	Type	Generated Value

A1	vector	vector(-5,0)
FA	vector	vector(5,-2)
B1	vector	vector(0,0)
FB	vector	vector(-3,-4)
C1	vector	vector(5,0)
FC	vector	vector(-5,-1)
units	string	N
debug	boolean	false
scale	integer	20

			Name	Type	Generated Value

mag_a		Error evaluating variable mag_a: No definition of 'quantity' of correct type found.
theta_a	number	-21.8014094864
mag_b		Error evaluating variable mag_b: Cannot read properties of undefined (reading 'match')
theta_b	number	-126.8698976458
mag_c		Error evaluating variable mag_c: Cannot read properties of undefined (reading 'match')
theta_c	number	-168.690067526

			Name	Type	Generated Value

a_from_ref	list	List of 4 items
b_from_ref	list	List of 4 items
c_from_ref	list	List of 4 items
ref	integer	0

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
vector(-5,0)

JME function reference

Description

Position of point A (start point for force A) fixed in this problem

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `vector`

vector(-5,0)

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Gap 0. Engineering Accuracy with units
  Add
2. Gap Information only
  Add
3. Gap Gap 1. Angle quantity
  Add
Part b) Gap-fill
1. Gap Gap 0. Engineering Accuracy with units
  Add
2. Gap Information only
  Add
3. Gap Gap 1. Angle quantity
  Add
Part c) Gap-fill
1. Gap Gap 0. Engineering Accuracy with units
  Add
2. Gap Information only
  Add
3. Gap Gap 1. Angle quantity
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Find the magnitude and direction of A.

$A$ = Gap 0.

$\theta_A$ = Gap 1. measured from the Unnamed gap

magnitude = {siground(mag_A,4)}

direction={theta_A} {a_from_ref}

Advice

For force $\textbf{A}$

$A = \sqrt{{A_x}^2 + {A_y}^2} = \sqrt{\var{FA[0]}^2 +\var{FA[1]}^2}$ = {siground(mag_A,4)}

$\theta_A = \tan^{-1}\left(\left|\dfrac{A_y}{A_x}\right|\right) = \tan^{-1}\left(\left|\dfrac{\var{FA[1]}}{\var{FA[0]}}\right|\right) =\var{siground(degrees(arctan(abs(FA[1]/FA[0]))),4)}°$

and similarly for $\textbf{B}$ and $\textbf{C}$.

Give a worked solution to the whole question.

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There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet
Information only
Angle quantity
Angle quantity		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet
Information only
Angle quantity
Angle quantity		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet
Information only
Angle quantity
Angle quantity		Hasn't run yet

This question is not used in any exams.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Maria Aneiros 5 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: `vector`

Parts

Gap-fill

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Magnitude and direction of three vectors

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Maria Aneiros 5 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: vector

Parts

Gap-fill

Generated value: `vector`