Problem 45821. Magnitude of a vector (★★★)

Created by Anirban Pal

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Given a vector x with values [ x1, x2, x3, ..., xn ], compute the magnitude (or length) of the vector which is given by</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"center\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"34\"/><w:attr w:name=\"width\" w:val=\"290\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:hyperlink w:docLocation=\"\"><w:r><w:t>href = \"\"</w:t></w:r></w:hyperlink><w:r><w:t>&lt;/a&gt;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Thus, if x = [1 2 5 6], then the magnitude is √(1+4+25+36) = 8.1240.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>You cannot use the following commands:</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>norm, sum, dot, for, while</w:t></w:r></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.gif","relationshipId":"rId1"}]},{"partUri":"/media/image1.gif","contentType":"image/gif","content":"data:image/gif;base64,R0lGODlhIgEiALMAAP///wAAALq6ukRERFRUVKqqqpiYmHZ2dtzc3BAQEMzMzDIyMu7u7mZmZoiIiCIiIiH5BAEAAAAALAAAAAAiASIAAAT+EMhJq704601Z+GAojmRpnmiqrmzrvnBscnRt30Zx73zv/8CgcEgsGiUDxnHJbDqf0GiRMZBar9isdospGLjgsHhMzhCU5bR6zS5W2/C4fC4ROOj4vF5LQHAKDgcNUICCUYWDT4h7QAIUjjSQdVoLHAx3AAQHTpcSmk+dmZtNoZ+MG4sTb0g1qwCuUgKjGgKVAAa2TLUSuE+7t7lLv72nGaWzrrAZyVkNCjR+AIZO0dPUEtZM1YnFF8O5zDThV8E0D9FQ51bqUezdF9uqFMoY41IK3DQEkhkG/D37aPgLEnDDQCAFDf6DchCIO3saIEI5sDCDg2foMDTscRFARo3+FW10/GhhI4+RHEwyDGkj4at5FLxQ9NKHlTxyFmQKoOmnQAEGCDD1YzlBJ08APoEKHfrHwEwDNZMGVdj0adSfU6leUZnT6U6o0VDaHCvAD4IEOhI8e3lTCgICFcp6RAtALYIQs0BukHs2rYK7IPLqpWWWrl28WjPwNfwXcWIpXB8V9osUq9BxOgAISGBB4oQGBEKLHi2YggJ6Dv5l3vwjctE6nFsTRQpbNqratrfOXh1bAuAPyGBWOAC3gmcgVAKgEX6BuAUE9ACAFr1gAekMzmMGykdheujq1zFkLwqIuwTvBMCLLj1hfIXiFtCrD80+iHzr67HDj8h8woIvxvX+N4QBd2U2AQP7VfBfBU49INBs/gEowTEpQSjBghQEgISEg3GAYQUOlNMhZBYC8CF/bU0YQDSSHCfdaDCagkECCeaAgQcsToCAgxXSgOMk3/RoyYqTeLThY8YQqdkEChQg4gWuMRHlgUoSFQ5rBmgIwF8pRmdfb0gsV1uWEnDpG49IxsUZmVtGE0+aj6yppZkTLiAmlERhOSc6BjDwZEmzvYWGoL6dUeidgNIiZ5l+XEKRAQ1EEw4+BTR5QAH8uNhIAGsBQIUFlFqKKQU7PqhBqAVcupA7TGWAqqoxDWBgqxi8Oiovnv7J4GwKqFWmr1sC22unI4LaQKWp3qoDp9LEAKhpf14GEcAsXvBQqpA/uERrtkvh6QMCjvhpqm4/nObJWs922cQAuRi6w7UbILqDWBrIWwMxBqB5Y2sOBJJAtxfYywkQ/UrQW7pjsbWEA8olbAO8TkgFsBF2YJMgEwro+s4AzwjQhyMIKyyyEQUiNfFeDQTgAElF/DYtQ9sJTIQCBKj8Tj0TEgDgfhdjwLMTNGbC8s1EF81IA5xpbPTSTLMhgMr1NS311GN8QCzVWGe9xQBgau3111AEAvbYZJdtttcRAAA7","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 159.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 79.75px; transform-origin: 407px 79.75px; vertical-align: baseline; "><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 357px 8px; transform-origin: 357px 8px; unicode-bidi: normal; "><span style="">Given a vector x with values [ x1, x2, x3, ..., xn ], compute the magnitude (or length) of the vector which is given by</span></span></div><div style="block-size: 39.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 19.75px; text-align: center; transform-origin: 384px 19.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline;width: 290px;height: 34px" src="data:image/gif;base64,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" data-image-state="image-loaded" width="290" height="34"></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><a target='_blank' href = "/#null"><span style=""><span style="">href = "/#null"</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14px 8px; transform-origin: 14px 8px; unicode-bidi: normal; "><span style="">&lt;/a&gt;</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 213.5px 8px; transform-origin: 213.5px 8px; unicode-bidi: normal; "><span style="">Thus, if x = [1 2 5 6], then the magnitude is √(1+4+25+36) = 8.1240.</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 128px 8px; transform-origin: 128px 8px; unicode-bidi: normal; "><span style="">You cannot use the following commands:</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; "><span style=""> </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 88px 8px; transform-origin: 88px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">norm, sum, dot, for, while</span></span></div></div></div>

Solve

Solution Stats

385 Solutions
76 Solvers

Last Solution submitted on Feb 04, 2023

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

goc3 on 8 Oct 2020

Tolerance has been added to the test suite.

Ramon Villamangca on 27 Jan 2023

Unrecognized function or variable 'tolerance'.

Dyuman Joshi on 27 Jan 2023

Ramon, the error has been rectified. The question should be clear to solve.

Solution Comments

Solution 3112051

1 Comment

1 Comment

Fabio Guerra on 8 Oct 2020

Tolerance plzz 3~=3.000

Problem Recent Solvers76

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 45821. Magnitude of a vector (★★★)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers76

Suggested Problems

More from this Author52

Problem Tags

Community Treasure Hunt

Problem 45821. Magnitude of a vector (★★★)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers76

Suggested Problems

More from this Author52

Problem Tags

Community Treasure Hunt

Players