Norm of a vector in four 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, 7 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, 7 months ago

Published this.

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Julia Goedecke 4 years, 7 months ago

Gave some feedback: Needs to be tested

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Julia Goedecke 4 years, 7 months ago

Created this as a copy of Inner product of two vectors in four dimensions.

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

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Question statement

You are given the vector $v= \var{v}$ in $\mathbb{R}^4$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

			v	vector	vector(-2,-5,4,1)
			squarenorm	number	46

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
vector(repeat(random(-5..5),4))

JME function reference

Description

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

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Generated value: `vector`

vector(-2,-5,4,1)

→ Used by:

squarenorm

Statement
Advice

Parts

Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

Find the norm $\|v\|$ , by giving the square of the norm, $\|v\|^2=$ Unnamed gap.

Advice

$\begin{align} \|v\|^2 =v^T \cdot v &= \begin{pmatrix}\var{v[0]} &\var{v[1]} & \var{v[2]}& \var{v[3]}\end{pmatrix} \var{v} \\ &= \simplify[]{{v[0]}^2+{v[1]}^2+{v[2]}^2+{v[3]}^2} \\ &= \var{squarenorm} \end{align}$

So $\|v\|=\sqrt{\var{squarenorm}}$ .

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Number entry		Hasn't run yet

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Taxonomy: mathcentre

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Tatiana Tyukina 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Error in variable testing condition

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Generated value: `vector`

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Norm of a vector in four 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, 7 months ago

Julia Goedecke 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: vector

Parts

Gap-fill

Generated value: `vector`