What Is The Difference Between Collinear And Coplanar? - Vedantu
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What is the difference between collinear and coplanar?Answer
Verified521.4k+ 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 Success
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What is the difference between collinear and coplanar?Answer
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Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Draw a ray diagram of compound microscope when the class 12 physics CBSE
How is democracy better than other forms of government class 12 social science CBSE
What is virtual and erect image ?
Explain the energy losses in the transformer How are class 12 physics CBSE
What are the major means of transport Explain each class 12 social science CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Draw a ray diagram of compound microscope when the class 12 physics CBSE
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Explain the energy losses in the transformer How are class 12 physics CBSE
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