सिद्ध कीजिए कि `[hati hatj hatk]+[hati hatk hatj]=0`

Evaluate : [2hati " " hatj " " hatk ] +[hati hatk hatj ] +[hatk hatj 2hati ]

Why is hati.hatj=hatj.hatk=hatk.hati=0

The value of [hati - hatj , hatj - hatk, hatk - hati] is :

[[hati, hatk, hatj]]+[[hatk, hatj, hati]]+[[hatj, hatk, hati]] is equal to

A unit vector coplanar with hati + hatj + 2 hatk and hati + 2 hatj + hatk, and perpendicular to hati + hatj + hatk is : a) ((hatj - hatk )/( sqrt2)) b) ((hati + hatj+ hatk )/( sqrt3)) c) ((hati + hatj + 2 hatk )/( sqrt6)) d) ((hati + 2 hatj + hatk )/( sqrt6))