Problem 42755. Angle bisectors

Created by Daniel Pereira

Solve Later

{"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>"}]}

Solve

Solution Stats

55 Solutions
20 Solvers

Last Solution submitted on May 01, 2021

Last 200 Solutions

Problem Comments

Solution Comments

Solution 838676

2 Comments

2 Comments

Tim on 26 Feb 2016

Test suite needs 'assert' somewhere....

Daniel Pereira on 27 Apr 2016

Thank you Tim. Corrected.

Problem Recent Solvers20

Problem Tags

bisector direction norm perpendicular unit vectors vectors

Community Treasure Hunt

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

Start Hunting!

Problem 42755. Angle bisectors

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers20

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Problem 42755. Angle bisectors

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers20

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Players