Let hata be a unit vector and hatb a non...

Let `hata` be a unit vector and `hatb` a non zero vector non parallel to `veca`. Find the angles of the triangle tow sides of which are represented by the vectors. `sqrt(3)(hatxxvecb)and vecb-(hata.vecb)hata`

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Let veca and vecb be non collinear vectors of which veca is a unit vector. The angle of the triangle whose sides are represented by sqrt(3)(veca xx vecb) and vecb-(veca.vecb)veca are:

`pi/2, pi/3` and `pi/6`

`pi/2, pi/4` and `pi/4`

`pi/3, pi/3` and `pi/3`

Data insufficient

If veca and vecb are non - zero vectors such that |veca + vecb| = |veca - 2vecb| then

`2 veca. vecb= |vecb|^(2)`

` veca. vecb= |vecb|^(2)`

least value of `veca . Vecb + 1/(|vecb|^(2) + 2) " is " sqrt2`

least value of `veca .vecb + 1/(|vecb|^(2) + 2) " is " sqrt2 -1 `

if veca and vecb non-zero ad non-collinear vectors, then

`vecaxxvecb=[vecavecbhati]hati+[vecavecbhatj]hatj+[vecavecbhatk]hatk`

veca.vecb=(veca.hati)(vecb.hati)+(veca.hatj)(vecb.hatj)+(veca.hatk)(vecb.hatk)`

if `vecu=hata-(hata.hatb)hatb` and `vecv=hataxxhatb` then `|vecv|=|vecu|`

if `vecc=vecaxx(vecaxxvecb)`, then `vecc.veca=0`