Question

a man walking towards north 100 metres after that turns right and walks 75 m again he turns right and walked 100 m and last he turns left and walks 25 m which direction is he walking now ???
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Answer 1

Answer:

east he was in East it was answer

Answer 2

Answer:

The man is walking in east direction now.

Step-by-step explanation:

Given that,

A man walking towards north 100m after that turns right and walks 75m again he turns right and walked 100m and last he turns left and walks 25m.

We shall this solve the problem based on vector algebra.

Consider the unit vector $\vec i$ for east direction and $\vec j$ for north direction.

As he walks 100m north his displacement vector is $\vec S_{1}=100\vec j$

Turns right by 75m,hence the vector is $\vec S_{2}=75\vec i$

Again turns right by 100m,the vector is $\vec S_{3}=-100\vec j$

He walks 25m left,the vector is $\vec S_{4}=25\vec i$

The final displacement is the sum of all the displacement vectors.Therefore,

$\vec S=\vec S_{1}+\vec S_{2}+\vec S_{3}+\vec S_{4}\\=100\vec j+75\vec i-100\vec j+25\vec i=100\vec i$

We obtain the final displacement with only unit vector in east direction.

Therefore,The man is walking in east direction now.

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