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Question: I walked 4 mile, turned to my left and walked 6 mile, then turned to my right again and walked 4 mil...

I walked 4 mile, turned to my left and walked 6 mile, then turned to my right again and walked 4 mile. Which of the choice mentions the distance from the starting point to the place where I stopped –

A

15 mile

B

10 mile

C

20 mile

D

14 mile

Answer

10 mile

Explanation

Solution

S\overset{\rightarrow}{S} = S1\overset{\rightarrow}{S_{1}} + S2\overset{\rightarrow}{S_{2}} + S3\overset{\rightarrow}{S_{3}}, S\overset{\rightarrow}{S} = (4i^\widehat{i} + 6j^\widehat{j} + 4i^4\widehat{i})mile

or S\overset{\rightarrow}{S}= (8i^\widehat{i} + 6j^6\widehat{j}) mile or |S\overset{\rightarrow}{S}| = 10 mile