Problem 42755. Angle bisectors

Created by Daniel Pereira

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{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given 2 direction vectors, calculate the</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t></w:t></w:r><w:r><w:rPr><w:b/><w:i/></w:rPr><w:t>two</w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t> (2) normalized angle bisectors</w:t></w:r><w:r><w:t> (which are perpendicular between them).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Input vectors can be 2-D or 3-D.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The two output vectors must have a norm equal to 1 (unit vectors).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You may find some help here:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://proofwiki.org/wiki/Angle_Bisector_Vector\"><w:r><w:t>&lt;https://proofwiki.org/wiki/Angle_Bisector_Vector</w:t></w:r></w:hyperlink><w:r><w:t>&gt;</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

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Last Solution submitted on Aug 23, 2020

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Solution 838676

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2 Comments

Tim on 26 Feb 2016

Test suite needs 'assert' somewhere....

Daniel Pereira on 27 Apr 2016

Thank you Tim. Corrected.

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bisector direction norm perpendicular unit vectors vectors

Problem 42755. Angle bisectors

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Problem 42755. Angle bisectors

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