Inner product of two vectors 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, 6 months ago
Julia Goedecke	said	Needs to be tested	4 years, 7 months ago

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Julia Goedecke 2 years, 11 months ago

Saved a checkpoint:

Changed solution to use dot for times, seems to be a new feature.

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Tatiana Tyukina 4 years, 6 months ago

Gave some feedback: Ready to use

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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

Published this.

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Julia Goedecke 4 years, 7 months ago

Created this as a copy of Inner product of two vectors in three 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 vectors $v= \var{v}$ and $w = \var{w}$ in $\mathbb{R}^4$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

v	vector	vector(2,4,4,2)
w	vector	vector(2,-5,3,2)
inner	number	0

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(2,4,4,2)

This variable doesn't seem to be used anywhere.

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1. Gap Number entry
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Find the inner product $\langle v,w\rangle = v^T w =$ Unnamed gap

Advice

$\begin{align} \langle v,w\rangle =v^T \cdot w &= \begin{pmatrix}\var{v[0]} &\var{v[1]} & \var{v[2]}& \var{v[3]}\end{pmatrix} \var{w} \\ &= \simplify[timesdot]{{v[0]}*{w[0]}+{v[1]}*{w[1]}+{v[2]}*{w[2]}+{v[3]}*{w[3]}} \\ &= \var{inner} \end{align}$

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Inner product of two vectors in four dimensions

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Julia Goedecke 2 years, 11 months ago

Tatiana Tyukina 4 years, 6 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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Gap-fill

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Inner product of two vectors in four dimensions

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Julia Goedecke 2 years, 11 months ago

Tatiana Tyukina 4 years, 6 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`