Inner product of two vectors in three dimensions

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From users who are members of Linear Algebra 1st year :

Tatiana Tyukina	said	Ready to use	4 years, 7 months ago
Julia Goedecke	said	Needs to be tested	4 years, 8 months ago

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Tatiana Tyukina 4 years, 7 months ago

Gave some feedback: Ready to use

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Julia Goedecke 4 years, 8 months ago

Published this.

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Julia Goedecke 4 years, 8 months ago

Gave some feedback: Needs to be tested

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Julia Goedecke 4 years, 8 months ago

Created this as a copy of Inner product of two vectors.

Name	Status	Author	Last Modified
Inner product of two vectors	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:51
Vectors 4 (dot product)	draft	Violeta CIT	10/11/2017 15:44
Vectors 4 (dot product)	draft	Violeta CIT	15/11/2017 15:28
Violeta's copy of Vectors 4 (dot product)	draft	Violeta CIT	15/11/2017 15:23
Harry's copy of Inner product of two vectors	draft	Harry Flynn	09/03/2018 14:42
Harry's copy of Inner product of two vectors	draft	Harry Flynn	09/03/2018 14:43
Simon's copy of Inner product of two vectors	draft	Simon Thomas	01/04/2019 09:55
Inner product of two vectors	draft	Xiaodan Leng	10/07/2019 23:17
Inner product of two vectors in three dimensions	Ready to use	Julia Goedecke	12/04/2022 10:10
Norm of a vector in three dimensions	Ready to use	Julia Goedecke	25/08/2021 12:57
Inner product of two vectors in four dimensions	Ready to use	Julia Goedecke	12/04/2022 10:09
Norm of a vector in four dimensions	Ready to use	Julia Goedecke	25/08/2021 12:57

There are 36 other versions that do you not have access to.

Question statement

You are given the vectors $v= \var{vector(a,b,g)}$ and $w = \var{vector(c,d,f)}$ in $\mathbb{R}^3$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	2
c	integer	2
b	integer	8
d	integer	9
g	integer	3
f	integer	7
s3	integer	1
s2	integer	1
s1	integer	1
s5	integer	-1
s4	integer	1
inner	integer	97

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

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Number entry
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Gap-fill

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

Find the inner product $\langle v,w\rangle = v^T w =$ Unnamed gap

Advice

$\begin{align} \langle v,w\rangle =v^T \cdot w &= \begin{pmatrix}\var{a} &\var{b} & \var{g}\end{pmatrix} \begin{pmatrix}\var{c}\\\var{d}\\\var{f}\end{pmatrix} \\ &= \simplify[timesdot]{{a}*{c}+{b}*{d}+{g}*{f}} \\ &= \var{inner} \end{align}$

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

This question is used in the following exams:

Inner product intro by Julia Goedecke in Linear Algebra 1st year.
All the good stuff by Chris Templet in Chris's workspace.
Gleb's copy of Inner product intro by Gleb Beliakov in test project.

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Inner product of two vectors in three dimensions

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Tatiana Tyukina 4 years, 7 months ago

Julia Goedecke 4 years, 8 months ago

Julia Goedecke 4 years, 8 months ago

Julia Goedecke 4 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Inner product of two vectors in three dimensions

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Tatiana Tyukina 4 years, 7 months ago

Julia Goedecke 4 years, 8 months ago

Julia Goedecke 4 years, 8 months ago

Julia Goedecke 4 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`