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If three vectors along coordinate axes r...

If three vectors along coordinate axes represent the adjacent sides of a cubie of length `b`, then the unit vector along its diagonal passing through the origin will be

A

`(hati+hatj+hatk)/(sqrt(2))`

B

`(hati+hatj+hatk)/(sqrt(3)b)`

C

`hati+hatj+hatk`

D

`(hati+hatj+hatk)/(sqrt(3))`

Text Solution

Verified by Experts

(d) Diagonal vector `A=bhati+bhatj+bhatk`
or `A=sqrt(b^(2)+b^(2)+b^(2))=sqrt(3)b` ltbrrgt `:. hatA=A/A=(hati+hatj+hatk)/(sqrt(3))`
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