Chapter 1: Q3CP (page 11)

You stand at location $\vec{r} = <2, - 3, 5>$ m. Your friend stands at location $\frac{\vec{r}}{2}$ . What is your friend’s position vector?

Short Answer

Expert verified

Your friend’s position vector is $\frac{\vec{r}}{2} = <1, \frac{- 3}{2}, \frac{5}{2}>$ m .

Step by step solution

Understanding the definition of 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 friend’s position vector

Since, your position vector is $\vec{r} = <2, - 3, 5>$ and your friend’s location is $\frac{\vec{r}}{2}$ .

Find the friend’s position vector as,

$\frac{\vec{r}}{2} = <\frac{2}{2}, \frac{- 3}{2}, \frac{5}{2}>$ m

$= <1, \frac{- 3}{2}, \frac{5}{2}>$ m

Thus, your friend’s position vector is $\frac{\vec{r}}{2} = <1, \frac{- 3}{2}, \frac{5}{2}>$ m .

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You stand at location $\vec{r} = <2, - 3, 5>$ m. Your friend stands at location $\frac{\vec{r}}{2}$ . What is your friend’s position vector?

Short Answer

Step by step solution

Understanding the definition of position vector

Finding friend’s position vector

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You stand at location r→=2,-3,5m. Your friend stands at location r→2. What is your friend’s position vector?

Short Answer

Step by step solution

Understanding the definition of position vector

Finding friend’s position vector

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Waves Physics

Mechanics and Materials

Atoms and Radioactivity

Linear Momentum

Nuclear Physics

Classical Mechanics

Study anywhere. Anytime. Across all devices.

You stand at location $\vec{r} = <2, - 3, 5>$ m. Your friend stands at location $\frac{\vec{r}}{2}$ . What is your friend’s position vector?