Distance And Displacement - Practice Questions & MCQ

 The position of a point, in space, is an important physical quantity which is also known as position vectors.
- Representation of position vector $\vec{r}=x \hat{i}+y \hat{j}+z \hat{k}$
- Its magnitude is the distance between the initial point (tail) and the final point (head).

Jenerally, we take initial point as origin)
- Its direction is from the initial point and the final point.

Magnitude of $r=\sqrt{x^2+y^2+z^2}$
- E.g. If $\vec{A}=3 \hat{i}-4 \hat{j}+2 \hat{k}$ then its magnitude

$$
\begin{aligned}
& =\sqrt{(3)^2+(-4)^2+(2)^2} \\
& =\sqrt{9+16+4} \\
& a=\sqrt{29}
\end{aligned}
$$

2. Distance or Path length
- Length of the actual path between the initial and final positions of the body.
- E.g. Distance travelled along a circle for one complete rotation is $2 \pi r$
- Tips of distance,,

The shortest path is between the initial and final positions.

Tips for Displacement.