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Simon Thomas 6 years, 2 months ago

Created this.

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Question statement

Given the vectors:

${\bf a}=\simplify{{a} v:i+{b}v:j+{g}v:k},\;\;\;{\bf b}=\simplify[std]{{c}v:i+{d}v:j+{f}v:k}$

answer the following question:

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	6
c	integer	2
b	integer	5
d	integer	-4
g	integer	4
f	integer	6
s3	integer	1
s2	integer	1
s1	integer	1
s5	integer	-1
s4	integer	-1
inner	integer	16

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
s1*random(2..9)

JME function reference

Description

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

Can an exam override the value of this variable?

Generated value: `integer`

← Depends on:

→ Used by:

inner

Statement
Advice
"Unnamed part" → "Gap 1." - Minimum accepted value
"Unnamed part" → "Gap 1." - Maximum accepted value
"Unnamed part" → "Gap 2." - Minimum accepted value
"Unnamed part" → "Gap 2." - Maximum accepted value

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add

Gap-fill

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

Find ${{\bf a}\times {\bf b}} =\;\;$ Gap 0. ${\bf i}+$ Gap 1. ${\bf j}+$ Gap 2. ${\bf k}$

Advice

$\begin{eqnarray*} \boldsymbol{a\times b}&=& \begin{vmatrix} \boldsymbol{i} & \boldsymbol{j} &\boldsymbol{k}\\ \var{a} & \var{b} & \var{g}\\ \var{c} & \var{d} & \var{f} \end{vmatrix}\\ \\ &=&\simplify[zeroterm]{({b}*{f}-{g}*{d})v:i - ({a}*{f}-{g}*{c} )v:j+({a}*{d}-{b}*{c})v:k}\\ \\ &=&\simplify[std]{{b*f-g*d}v:i+{g*c-a*f}v:j+{a*d-b*c}v:k} \end{eqnarray*}$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

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

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exam:

All the good stuff by Chris Templet in Chris's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Simon Thomas 6 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Cross product

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 6 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`