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check Wether the vector ((hati)/sqrt (2)...

check Wether the vector `((hati)/sqrt (2)+(hatj)/sqrt(2))` is a unit vector or not .

A

YES

B

NO

C

Cannot be determined

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Aunit vector is a vector with magnitude 1.
The magnitude of given vector is
`|(hati)/(sqrt(2)) +(hati)/(sqrt(2))|=sqrt (((1)/(sqrt(2)))^(2)+((1)/(sqrt(2)))^(2))=sqrt ((1)/(2)+(1)/(2))=sqrt(1)=1`
As magnitude of given vector is 1.
`therefore `It is a unit vector.
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