Question

A Body moves 6 m north. 8 m east and 10m vertically upwards, what is 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

Answer: (A)

$10\sqrt{2}m$

Answer 2

$\overrightarrow{r} = x\widehat{i} + y\widehat{j} + z\widehat{k}$ $\therefore r = \sqrt{x^{2} + y^{2} + z^{2}}$

r$= \sqrt{6^{2} + 8^{2} + 10^{2}} = 10\sqrt{2}\mspace{6mu} m$