Question

a body move 6 m north,8 m east and 10 m vertically upwards,what is its resultant displacement from initial position.

Answer 1

Since all three displacement vectors are mutually perpendicular, the resultant vector's magnitude is simply : 
$\sqrt{ 6^{2} + 8^{2} + 10^{2} } = 10 \sqrt{2}\ m$

Answer 2

Answer:

10 root 2 m.

Explanation:

Since all three displacement vectors are mutually perpendicular, the resultant vector's magnitude is simply :

= root (6^2 + 8^2 + 10^2)

= root (36 + 64 + 100)

= root 200

= 10 root 2 m.