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If ahati +bhatj is a unit vector and it ...

If `ahati +bhatj` is a unit vector and it iws perpendicular to `hati +hatj` , then value of a and b is

A

1,0

B

`-2,0`

C

`0.5,-0.5`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `(ahati+bhatj).9hati+hatj_=0or a+b=0`
"Futher"sqrt(a^(2)+b^(2))=1`
Or`a^(2)+b^(2)=1`
`"solvingEqs,(i)and(ii)we get"`
`a=+-(1)/(sqrt(2))`
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