What Is The Difference Between Collinear And Coplanar? - Vedantu

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seo-qnaheader left imagearrow-right Answerdown arrowQuestion Answers for Class 12down arrowClass 12 BiologyClass 12 ChemistryClass 12 EnglishClass 12 MathsClass 12 PhysicsClass 12 Social ScienceClass 12 Business StudiesClass 12 EconomicsQuestion Answers for Class 11down arrowClass 11 EconomicsClass 11 Computer ScienceClass 11 BiologyClass 11 ChemistryClass 11 EnglishClass 11 MathsClass 11 PhysicsClass 11 Social ScienceClass 11 AccountancyClass 11 Business StudiesQuestion Answers for Class 10down arrowClass 10 ScienceClass 10 EnglishClass 10 MathsClass 10 Social ScienceClass 10 General KnowledgeQuestion Answers for Class 9down arrowClass 9 General KnowledgeClass 9 ScienceClass 9 EnglishClass 9 MathsClass 9 Social ScienceQuestion Answers for Class 8down arrowClass 8 ScienceClass 8 EnglishClass 8 MathsClass 8 Social ScienceQuestion Answers for Class 7down arrowClass 7 ScienceClass 7 EnglishClass 7 MathsClass 7 Social ScienceQuestion Answers for Class 6down arrowClass 6 ScienceClass 6 EnglishClass 6 MathsClass 6 Social ScienceQuestion Answers for Class 5down arrowClass 5 ScienceClass 5 EnglishClass 5 MathsClass 5 Social ScienceQuestion Answers for Class 4down arrowClass 4 ScienceClass 4 EnglishClass 4 MathsSearchIconbannerWhat is the difference between collinear and coplanar?AnswerVerifiedVerified521.4k+ viewsHint: We first discuss the attributes of being collinear and coplanar for points and vectors. Then we define the terms individually. We also express them in their mathematical form to give the relation.Complete step by step solution:The given terms ‘collinear’ and ‘coplanar’ are attributes which can be used for different types of cases whether we use points or vectors.Now we separately discuss the two terms.Those things can be termed as collinear which consist of one line. It can be for both points and vectors and they are collinear points and collinear vectors.Collinear points lie on a single straight line. Also, collinear vectors can be represented as the scalar multiple of one another. If $\overrightarrow{p},\overrightarrow{q}$ are two collinear vectors then $\overrightarrow{p}=k\overrightarrow{q}$ where $k$ is a scalar number.Now we discuss coplanar where things can be termed as coplanar which are situated on the same plane. It can be for both points and vectors and they are coplanar points and coplanar vectors.Coplanar points lie on a single plane. Also, coplanar vectors can be represented as the linear combination of one another. If $\overrightarrow{p},\overrightarrow{q},\overrightarrow{r}$ are three coplanar vectors then $\overrightarrow{p}=m\overrightarrow{q}+n\overrightarrow{r}$ where $m,n$ are scalar numbers.Note: We have to remember that the condition of collinear and coplanar can happen in a single case. The characteristics of being coplanar doesn’t guarantee collinearity and vice-versa.Recently Updated PagesMaster Class 12 English: Engaging Questions & Answers for Successarrow-rightMaster Class 12 Business Studies: Engaging Questions & Answers for Successarrow-rightMaster Class 12 Economics: Engaging Questions & Answers for Successarrow-rightMaster Class 12 Social Science: Engaging Questions & Answers for Successarrow-rightMaster Class 12 Maths: Engaging Questions & Answers for Successarrow-rightMaster Class 12 Chemistry: Engaging Questions & Answers for Successarrow-rightMaster Class 12 English: Engaging Questions & Answers for Successarrow-rightMaster Class 12 Business Studies: Engaging Questions & Answers for Successarrow-rightMaster Class 12 Economics: Engaging Questions & Answers for Successarrow-rightMaster Class 12 Social Science: Engaging Questions & Answers for Successarrow-rightMaster Class 12 Maths: Engaging Questions & Answers for Successarrow-rightMaster Class 12 Chemistry: Engaging Questions & Answers for Successarrow-right
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