Question

You stand at location$\overrightarrow{r}(2,-3,5)m$ . Your friend stands at location$\frac{\stackrel{\rightharpoonup }{r}}{2}$ . What is your friend’s position vector?

Short answer

Your friend’s position vector is $\frac{\stackrel{\rightharpoonup }{r}}{2}$=role="math" localid="1653902586696" $\left(1\frac{-3}{2},\frac{5}{2}\right)m.$

Step-by-step solution

Understanding the definition of the position vector

A position vector is a vector quantity representing either the object's position or the object's location of any particular given point in relation to any arbitrary reference.

Its main function is to tell about the location of any object in the coordinate plane.

Finding the friend’s position vector

Since your position vector is $\stackrel{\rightharpoonup }{r}$=and your friend’s location is$\frac{\stackrel{\rightharpoonup }{r}}{2}$.

Find the friend’s position vector as,

_{$\frac{\stackrel{\rightharpoonup }{r}}{2}$role="math" localid="1653903357684"}

Thus, your friend’s position vector is