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

Created by Anirban Pal

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<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: 159px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 79.5px; transform-origin: 407px 79.5px; 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: 352.983px 10.5px; transform-origin: 352.983px 10.5px; 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: 38px; 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 19px; text-align: center; transform-origin: 384px 19px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline" src="data:image/gif;base64,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" data-image-state="image-loaded"></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 = "https://www.mathworks.com/matlabcentral/cody/groups/2511/problems/45821-magnitude-of-a-vector/edit#a"><span style=""><span style="">href = ""</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: 14.025px 10.5px; transform-origin: 14.025px 10.5px; 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: 209.858px 10.5px; transform-origin: 209.858px 10.5px; 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: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 126.792px 10.5px; transform-origin: 126.792px 10.5px; 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: 1.95px 10.5px; transform-origin: 1.95px 10.5px; 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: 84.7px 10.5px; transform-origin: 84.7px 10.5px; unicode-bidi: normal; "><span style="font-weight: 700; ">norm, sum, dot, for, while</span></span></div></div></div>

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370 Solutions
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Last Solution submitted on Dec 11, 2021

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goc3 on 8 Oct 2020

Tolerance has been added to the test suite.

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Solution 3112051

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1 Comment

Fabio Guerra on 8 Oct 2020

Tolerance plzz 3~=3.000

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

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

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Last 200 Solutions

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