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: 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>

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387 Solutions
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Last Solution submitted on Mar 30, 2023

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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.

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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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Problem Recent Solvers77

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