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A unit vector is represented as (0.8hat(...

A unit vector is represented as `(0.8hat(i)+bhat(j)+04hat(k))`. Hence, the value of b must be

A

`0.4`

B

`sqrt(0.6)`

C

`0.2`

D

`sqrt(0.2)`

Text Solution

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The correct Answer is:
D
`a = sqrt((0.8)^(2) +(b)^(2) +(0.4)^(2))=1`
`sqrt(64+(b)^(2) +0.16)=1`
`sqrt(0.80+b^(2))=1`
`0.80 +b^(2) =1`
`b^(2) =1-0.8 =0.2`
`b= sqrt(0.2)`
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