Q. A Body moves 6 $m\ $north. 8 $m$ east and 10$\ m$ vertically upwards, what is its resultant displacement from initial position
A) $10\sqrt{2m}$
B) 10$\ m$
C) $\frac{10}{\sqrt{2}}m$
D) $10 \times 2m$
Explanation
(a) $\overrightarrow{r} = x\widehat{i} + y\widehat{j} + z\widehat{k}\ \therefore r = \sqrt{x^{2} + y^{2} + z^{2}}$
$r = \sqrt{6^{2} + 8^{2} + 10^{2}} = 10\sqrt{2}m$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.