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The direction cosines of a vector hati+h...

The direction cosines of a vector `hati+hatj+ sqrt2hatk` are

A

`(1)/(2), (1)/(2), 1`

B

`(1)/(sqrt2), (1)/(sqrt2), (1)/(2)`

C

`(1)/(2), (1)/(2), (1)/(sqrt2)`

D

`(1)/(sqrt2), (1)/(sqrt2),(1)/(sqrt2) `

Text Solution

Verified by Experts

The correct Answer is:
3
`vecA= hati+hatj+ sqrt2hatk`
`cos alpha = (A_x)/(A), cos beta = (A_y)/(A), cos gamma = (A_z)/(A)`
`cos alpha = (1)/(2) , cos beta = (1)/(2), cos gamma = (sqrt2)/(2) = (1)/(sqrt2)`
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