सदिशों `2hati - hatj + hatk` और `3hati - 4hatj - hatk` प्रत्येक पर लम्ब ,एक मात्रक सदिश (इकाई सदिश ) हैं

Options

A. `1/(sqrt(3))hati + 1/(sqrt(3)) hati - 1/(sqrt(3)) hatk`
B. `1/(sqrt(2)) hati + 1/2 hatj + 1/2hatk`
C. `1/(sqrt(3)) hati - 1/(sqrt(3)) hatj - 1/(sqrt(3)) hatk`
D. `1/(sqrt(3)) hati + 1/(sqrt(3)) hatj + 1/(sqrt(3)) hatk`

Explanation

हम जानते है,
`hatn = (veca xx vecb)/(|veca + xx vecb|)`
`vecaxxvecb = |{:(hati,hatj,hatk),(2,-1,1),(3,-4,-1):}|`
`veca xx vecb = 5hati + 5hatj - 5hatk`
`| veca xx vecb| = 5sqrt(3)`
`hatn = (5(hati +hatj - hatk))/(5sqrt(3)) = (hati + hatj - hatk)/(sqrt(3))`