IBV16 Find a vector equation for the line

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SUMMARY

The discussion focuses on finding a vector equation for a line represented as $\pmatrix{x \\ y} = \pmatrix{1 \\ 3} + t \pmatrix{5 \\ 2}$. Participants confirm that this representation is valid, emphasizing that there are infinite ways to express a vector equation as long as a point on the line and the correct direction vector are provided. The equation correctly describes the line in a two-dimensional space.

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  • Understanding of vector equations in two-dimensional space
  • Familiarity with parameterization of lines
  • Basic knowledge of linear algebra concepts
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  • Study the concept of parameterization in geometry
  • Learn about direction vectors and their role in line equations
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karush
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View attachment 1230

$\pmatrix{x \\ y} = \pmatrix{1 \\ 3} + t \pmatrix{5 \\ 2}$

this should be simple but still seem to miss them, also didn't know if the x,y should be different?:cool:
 
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What you have written looks good to me! :D

There are an infinite number of ways to write such a vector equation (as there are an infinite number of points on the line), but the one you chose is one of them. As long as you have a point on the line and the correct direction, you have described the line correctly.
 

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