Question

A Body moves 6 m north. 8 m east and 10m vertically upwards, what is the magnitude of its resultant displacement from initial position?

• A. $10\sqrt{2}m$
• B. $10m$
• C. $\frac{10}{\sqrt{2}}m$
• D. $10\times 2m$

Answer 1

The correct option is A $10\sqrt{2}m$

$\overrightarrow{r}=x\hat{i}+y\hat{j}+z\hat{k}\therefore r=\sqrt{x^2+y^2+z^2}$
$r=\sqrt{6^2+8^2+{10}^2}=10\sqrt{2}m$