Problem 2083. Independent direction vectors of a plane

Created by Marcel

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","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\"?><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 the equation of a plan of the form ax+by+cz=d, return 2 independent direction vectors which could e.g. be used to determine a parametric equation.</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

49 Solutions
13 Solvers

Last Solution submitted on Oct 23, 2021

Last 200 Solutions

Problem Comments

4 Comments

4 Comments

Show 1 older comment

Tim on 31 Dec 2013

For the vectors to be independent, the test suite should have assert(dot(v1,v2)==0).

Alfonso Nieto-Castanon on 4 Feb 2014

instead of assert(dot(v1,v2)~=0) ...

J-G van der Toorn on 6 Feb 2014

I agree. First, I did not succeed for that reason.

J-G van der Toorn on 6 Feb 2014

I am curious about the 26-node solution.

Problem Recent Solvers13

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 2083. Independent direction vectors of a plane

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers13

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Problem 2083. Independent direction vectors of a plane

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers13

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Players