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

[Knorrhane]

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.

 

[Knorrhane]

Thanks I was just suppose to find that x=1, y=t and z=0 if x=i, y=j and z=k.

 

[HallsofIvy]

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.

 

[Knorrhane]

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!