Find a unit vector in the direction of ...

Find a unit vector in the direction of ` vec a=2 hat i-\ 3 hat j+6 hat k`

A

`(hat(i)-(3)/(2)hat(j)+3hat(k))`

B

`((2)/(5)hat(i)-(3)/(5)hat(j)+(6)/(5)hat(k))`

C

`((2)/(7)hat(i)-(3)/(7)hat(j)+(6)/(7)hat(k))`

D

none of these

Verified by Experts

The correct Answer is:

C

`|vec(a)|=sqrt(2^(2)+(-3)^(2)+6^(2))=sqrt(49)=7`.
`:.` required unit vector is `((2)/(7)hat(i)-(3)/(7)hat(j)+(6)/(7)hat(k))`.

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