Vector function: Describe path of particle: \textbf{r} = \textbf{i} + t\textbf{j}

Knorrhane

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Describe the path of the particle

\textbf{r} = \textbf{i} + t\textbf{j}

Answer is line x = 1 in the xy-plane.

I can find velocity, speed and acceleration but I have absolutely no clue how to describe the path of the particle.

Thanks in advance.
 
The vector function is \(\displaystyle \vec{r(t)}= \vec{i}+ t\vec{j}\). In an x, y coordinate system, any vector is of the form "\(\displaystyle x\vec{i}+ y\vec{j}\)" so that vector function is the same as the parametric equations x= 1, y= t or (1, t). y can be anything but, for all y, x= 1. The path is the vertical line x= 1.
 
The vector function is \(\displaystyle \vec{r(t)}= \vec{i}+ t\vec{j}\). In an x, y coordinate system, any vector is of the form "\(\displaystyle x\vec{i}+ y\vec{j}\)" so that vector function is the same as the parametric equations x= 1, y= t or (1, t). y can be anything but, for all y, x= 1. The path is the vertical line x= 1.

Thanks!
 
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