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

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?

Options:

A .

10 \sqrt{2} m

B .

10 m

C .

\frac{10}{\sqrt{2}} m

D .

10 \times 2 m

Answer: Option A
:
A

\to r = x ˆ i + y ˆ j + z ˆ k ∴ r = \sqrt{x^{2} + y^{2} + z^{2}}

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

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