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Question
Find the unit vector in the direction of the vector `veca = hati + hatj + 2hatk`.
Solution
The unit vector `veca` in the direction of vector `veca = hati + hatj + 2hatk` is given by `veca = veca/|a|`.
`|veca| = sqrt(1^2 + 1^2 + 2^2) `
`= sqrt(1 + 1 + 4) `
`= sqrt6`
Unit vector in the direction of vector a,
`therefore hata = veca/|veca| `
`= (hati + hatj + 2hatk)/sqrt6 `
`= 1/sqrt6hati + 1/sqrt6hatj + 2/sqrt6hatk`
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