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If three vector along coordinate axis re...

If three vector along coordinate axis represent the adjacent sides of a cube of length b, then the unit vector along its diaonal passing thourth the origin will be

A

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

B

`(hati+hatj+hatk)/(sqrt(36))`

C

`hati+hatj+hatk`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Diagonal vector ,`A=bhati+bhatj+bhatk`
`Or A=sqrt(b^(2) +b^(2)+b^(2))=sqrt(3b)`
`thereforeA=(A)/(|A|)=(hati+hatj+hatk)/(sqrt(3))`
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