Let `hata and hatb ` be mutually perpendicular unit vectors. Then for ant arbitrary `vecr`.

hata and hatb are two mutually perpendicular unit vectors. If the vectors xhata+xhatb+z(hataxxhatb),hata+(hataxxhatb) and zhata+zhatb+y(hataxxhatb) lie in a plane, then z is

If hata and hatb are two mutually perpendicular unit vectors what is the value of (2hata + 3hatb). (4hata - 5 hatb) ?

Let veca, vecb and vecc are three mutually perpendicular unit vectors and a unit vector vecr satisfying the equation (vecb -vecc)xx(vecr xx veca)+(vecc -veca)xx(vecr xx vecb)+(veca-vecb)xx(vecr xx vecc)=0, then vecr is

If veca and vecb are mutually perpendicular unit vectors, vecr is a vector satisfying vecr.veca =0, vecr.vecb=1 and (vecr veca vecb)=1 , then vecr is:

If veca and vecb are mutually perpendicular unit vectors, vecr is a vector satisfying vecr.veca =0, vecr.vecb=1 and (vecr veca vecb)=1 , then vecr is:

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 .