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If  \(\vec a=\hat i+\hat j,\)  \(\vec b=\hat j+\hat k,\)  \(\vec c=\hat k+\hat i\)  fine the unit vector in the direction of \(\vec a+\vec b+\vec c.\)

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Best answer

Given that

The unit vector of any vector  \(\vec a= a_1\hat i+a_2\hat j+a_3\hat k\) can be written as

Let  \(\vec d=\vec a+\vec d+\vec c\) 

Then

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