If `hata.hatb=0` where `hata and hatb` are unit vectors and the unit vectors `vecc` is inclined at angle `theta` to both `hata and hatb. If hatc=m hata+nhatb+p(hataxxhatb), (m, n, pepsilonR)` then (A) `-pi/4lethetalepi/4` (B) `pi/4lethetale(3pi)/4` (C) `0lethetalepi/4` (D) `0lethetale(3pi)/4`

Unit vector hata and hatb are perpendicular to each other and the unit vector hatc is inclined at an angle theta to both hata and hatb If hatc=m(hata+hatb)+hatn(hata times hatb) . And m,n are real prove that pi/4 le theta le (3pi)/4 .

Let vec a* vec b=0,w h e r e vec aa n d vec b are unit vectors and the unit vector vec c is inclined at an angle theta to both vec aa n d vec bdot If vec c=m vec a+n vec b+p( vec axx vec b),(m ,n , p in R), then a.pi/4lt=thetalt=pi/4 b. pi/4lt=thetalt=(3pi)/4 c. 0lt=thetalt=pi/4 d. 0lt=thetalt=(3pi)/4

If hata and hatb are unit vectors inclined at an angle theta then prove that tan "" theta /2 = | (hata -hatb)/(hata+hatb)|

If hata and hatb are unit vectors inclined at an angle theta then prove that cos "" theta /2 = 1/2 |hata + hatb|

If hata,hatb and hatc are three unit vectors inclined to each other at an angle theta . The maximum value of theta is