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Question
Find the unit vector in the diret:tion of the vector `veca = hati + hatj + 2hatk`
Options
`1/sqrt(6) hati + 1/sqrt(6) hatj + 2/sqrt(6) hatk`
`- 1/sqrt(6) hati + 1/sqrt(6) hatj + 2/sqrt(6) hatk`
`1/sqrt(6) hati - 1/sqrt(6) hatj + 2/sqrt(6) hatk`
`1/sqrt(6) hati + 1/sqrt(6) hatj - 2/sqrt(6) hatk`
MCQ
Solution
`1/sqrt(6) hati + 1/sqrt(6) hatj + 2/sqrt(6) hatk`
Explanation:
`a = hati + hatj + 2hatk`
∴ `|veca| = sqrt(1^2 + 1^2 + 2^2) = sqrt(6)`
Unit vector in the direction of vector `veca`.
= `1/|veca| veca`
= `1/sqrt(16) (hati + hatj + 2hatk)`
= `1/sqrt(6) hati + 1/sqrt(6) hatj + 2/sqrt(6) hatk`
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