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Q. A body moves $6\,m$ north, $8\,m$ east and $10\,m$ vertically upwards, the resultant displacement from its initial position is

Motion in a Plane

Solution:

The situation is as shown in the figure
image
$OC=\sqrt{OA^{2}+AB^{2}+BC^{2}}$
$=\sqrt{6^{2}+8^{2}+10^{2}}$
$=10\sqrt{2}\,m$